76521734016 has 256 divisors, whose sum is σ = 254275392000. Its totient is φ = 19850158080.

The previous prime is 76521733997. The next prime is 76521734021. The reversal of 76521734016 is 61043712567.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2113635 + ... + 2149533.

It is an arithmetic number, because the mean of its divisors is an integer number (993263250).

Almost surely, 2^76521734016 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 76521734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127137696000).

76521734016 is an abundant number, since it is smaller than the sum of its proper divisors (177753657984).

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

76521734016 is a wasteful number, since it uses less digits than its factorization.

76521734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35997 (or 35985 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 76521734016 in words is "seventy-six billion, five hundred twenty-one million, seven hundred thirty-four thousand, sixteen".