76313704896 has 1008 divisors, whose sum is σ = 283086535680. Its totient is φ = 19570636800.

The previous prime is 76313704867. The next prime is 76313704921. The reversal of 76313704896 is 69840731367.

It is a super-3 number, since 3×76313704896³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2461732401 + ... + 2461732431.

Almost surely, 2^76313704896 is an apocalyptic number.

76313704896 is a gapful number since it is divisible by the number (76) 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 76313704896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141543267840).

76313704896 is an abundant number, since it is smaller than the sum of its proper divisors (206772830784).

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

76313704896 is a wasteful number, since it uses less digits than its factorization.

76313704896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 76313704896 in words is "seventy-six billion, three hundred thirteen million, seven hundred four thousand, eight hundred ninety-six".