76253163840 has 672 divisors, whose sum is σ = 310345311744. Its totient is φ = 16821043200.

The previous prime is 76253163829. The next prime is 76253163863. The reversal of 76253163840 is 4836135267.

76253163840 is a `hidden beast` number, since 7 + 6 + 2 + 5 + 3 + 1 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×76253163840³ (a number of 34 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112633582 + ... + 112634258.

Almost surely, 2^76253163840 is an apocalyptic number.

76253163840 is a gapful number since it is divisible by the number (70) 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 76253163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155172655872).

76253163840 is an abundant number, since it is smaller than the sum of its proper divisors (234092147904).

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

76253163840 is a wasteful number, since it uses less digits than its factorization.

76253163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 76253163840 in words is "seventy-six billion, two hundred fifty-three million, one hundred sixty-three thousand, eight hundred forty".