10076403456 has 576 divisors, whose sum is σ = 36536908800. Its totient is φ = 2675441664.

The previous prime is 10076403451. The next prime is 10076403457. The reversal of 10076403456 is 65430467001.

It is a happy number.

10076403456 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 640 + 3 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10076403456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10076403451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89171656 + ... + 89171768.

Almost surely, 2^10076403456 is an apocalyptic number.

10076403456 is a gapful number since it is divisible by the number (16) 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 10076403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18268454400).

10076403456 is an abundant number, since it is smaller than the sum of its proper divisors (26460505344).

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

10076403456 is a wasteful number, since it uses less digits than its factorization.

10076403456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10076403456 in words is "ten billion, seventy-six million, four hundred three thousand, four hundred fifty-six".