76445056320 has 224 divisors, whose sum is σ = 248515485696. Its totient is φ = 19900262400.

The previous prime is 76445056307. The next prime is 76445056379. The reversal of 76445056320 is 2365054467.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19444755 + ... + 19448685.

Almost surely, 2^76445056320 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 76445056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124257742848).

76445056320 is an abundant number, since it is smaller than the sum of its proper divisors (172070429376).

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

76445056320 is a wasteful number, since it uses less digits than its factorization.

76445056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 76445056320 in words is "seventy-six billion, four hundred forty-five million, fifty-six thousand, three hundred twenty".