10619646480 has 320 divisors, whose sum is σ = 38412541440. Its totient is φ = 2691532800.

The previous prime is 10619646473. The next prime is 10619646487. The reversal of 10619646480 is 8464691601.

10619646480 is a `hidden beast` number, since 106 + 1 + 9 + 6 + 464 + 80 = 666.

10619646480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10619646473) and next prime (10619646487).

It is a super-2 number, since 2×10619646480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10619646487) 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 63 ways as a sum of consecutive naturals, for example, 8991490 + ... + 8992670.

It is an arithmetic number, because the mean of its divisors is an integer number (120039192).

Almost surely, 2^10619646480 is an apocalyptic number.

10619646480 is a gapful number since it is divisible by the number (10) 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 10619646480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206270720).

10619646480 is an abundant number, since it is smaller than the sum of its proper divisors (27792894960).

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

10619646480 is a wasteful number, since it uses less digits than its factorization.

10619646480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10619646480 in words is "ten billion, six hundred nineteen million, six hundred forty-six thousand, four hundred eighty".