10074786480 has 800 divisors, whose sum is σ = 41353424640. Its totient is φ = 2246952960.

The previous prime is 10074786479. The next prime is 10074786493. The reversal of 10074786480 is 8468747001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58235674 + ... + 58235846.

Almost surely, 2^10074786480 is an apocalyptic number.

10074786480 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 10074786480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20676712320).

10074786480 is an abundant number, since it is smaller than the sum of its proper divisors (31278638160).

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

10074786480 is a wasteful number, since it uses less digits than its factorization.

10074786480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 10074786480 in words is "ten billion, seventy-four million, seven hundred eighty-six thousand, four hundred eighty".