76476672000 has 576 divisors, whose sum is σ = 290330913600. Its totient is φ = 19309363200.

The previous prime is 76476671993. The next prime is 76476672023. The reversal of 76476672000 is 27667467.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43775127 + ... + 43776873.

It is an arithmetic number, because the mean of its divisors is an integer number (504046725).

Almost surely, 2^76476672000 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 76476672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145165456800).

76476672000 is an abundant number, since it is smaller than the sum of its proper divisors (213854241600).

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

76476672000 is a wasteful number, since it uses less digits than its factorization.

76476672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

It can be divided in two parts, 76476 and 672000, that added together give a triangular number (748476 = T₁₂₂₃).

The spelling of 76476672000 in words is "seventy-six billion, four hundred seventy-six million, six hundred seventy-two thousand".