10479594682368 has 1200 divisors, whose sum is σ = 37073090494440. Its totient is φ = 2948764041216.

The previous prime is 10479594682367. The next prime is 10479594682369. The reversal of 10479594682368 is 86328649597401.

10479594682368 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 9 + 594 + 6 + 8 + 23 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10479594682367) and next prime (10479594682369).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10479594682296 and 10479594682305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10479594682367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 33058658146 + ... + 33058658462.

It is a 2-persistent number, because it is pandigital, and so is 2⋅10479594682368 = 20959189364736, but 3⋅10479594682368 = 31438784047104 is not.

Almost surely, 2^{10479594682368} is an apocalyptic number.

10479594682368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10479594682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18536545247220).

10479594682368 is an abundant number, since it is smaller than the sum of its proper divisors (26593495812072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10479594682368 is an frugal number, since it uses more digits than its factorization.

10479594682368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 10479594682368 in words is "ten trillion, four hundred seventy-nine billion, five hundred ninety-four million, six hundred eighty-two thousand, three hundred sixty-eight".