76737304704 has 128 divisors (see below), whose sum is σ = 206189556480. Its totient is φ = 25284510720.

The previous prime is 76737304703. The next prime is 76737304711. The reversal of 76737304704 is 40740373767.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×76737304704² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (76737304703) 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 15 ways as a sum of consecutive naturals, for example, 21487239 + ... + 21490809.

It is an arithmetic number, because the mean of its divisors is an integer number (1610855910).

Almost surely, 2^76737304704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76737304704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103094778240).

76737304704 is an abundant number, since it is smaller than the sum of its proper divisors (129452251776).

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

76737304704 is a wasteful number, since it uses less digits than its factorization.

76737304704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 48.

The spelling of 76737304704 in words is "seventy-six billion, seven hundred thirty-seven million, three hundred four thousand, seven hundred four".