76672963584 has 704 divisors, whose sum is σ = 282977280000. Its totient is φ = 20010074112.

The previous prime is 76672963579. The next prime is 76672963607. The reversal of 76672963584 is 48536927667.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106637977 + ... + 106638695.

Almost surely, 2^76672963584 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 76672963584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141488640000).

76672963584 is an abundant number, since it is smaller than the sum of its proper divisors (206304316416).

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

76672963584 is a wasteful number, since it uses less digits than its factorization.

76672963584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 779 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 76672963584 in words is "seventy-six billion, six hundred seventy-two million, nine hundred sixty-three thousand, five hundred eighty-four".