76465132316664 has 256 divisors, whose sum is σ = 239187852288000. Its totient is φ = 19832446453248.

The previous prime is 76465132316663. The next prime is 76465132316669. The reversal of 76465132316664 is 46661323156467.

It is a happy number.

76465132316664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 76465132316598 and 76465132316607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76465132316663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87214279 + ... + 88086665.

It is an arithmetic number, because the mean of its divisors is an integer number (934327548000).

Almost surely, 2^{76465132316664} 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 76465132316664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119593926144000).

76465132316664 is an abundant number, since it is smaller than the sum of its proper divisors (162722719971336).

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

76465132316664 is a wasteful number, since it uses less digits than its factorization.

76465132316664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873082 (or 873078 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 60.

The spelling of 76465132316664 in words is "seventy-six trillion, four hundred sixty-five billion, one hundred thirty-two million, three hundred sixteen thousand, six hundred sixty-four".