76464015674304 has 224 divisors, whose sum is σ = 209752638842880. Its totient is φ = 24557834649600.

The previous prime is 76464015674243. The next prime is 76464015674383. The reversal of 76464015674304 is 40347651046467.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2105674452 + ... + 2105710764.

It is an arithmetic number, because the mean of its divisors is an integer number (936395709120).

Almost surely, 2^{76464015674304} 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 76464015674304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104876319421440).

76464015674304 is an abundant number, since it is smaller than the sum of its proper divisors (133288623168576).

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

76464015674304 is a wasteful number, since it uses less digits than its factorization.

76464015674304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37899 (or 37889 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 57.

The spelling of 76464015674304 in words is "seventy-six trillion, four hundred sixty-four billion, fifteen million, six hundred seventy-four thousand, three hundred four".