76632407640 has 128 divisors (see below), whose sum is σ = 255931660800. Its totient is φ = 20396085120.

The previous prime is 76632407629. The next prime is 76632407659. The reversal of 76632407640 is 4670423667.

76632407640 is a `hidden beast` number, since 7 + 6 + 632 + 4 + 0 + 7 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497005 + ... + 632675.

It is an arithmetic number, because the mean of its divisors is an integer number (1999466100).

Almost surely, 2^76632407640 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 76632407640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127965830400).

76632407640 is an abundant number, since it is smaller than the sum of its proper divisors (179299253160).

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

76632407640 is a wasteful number, since it uses less digits than its factorization.

76632407640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136214 (or 136204 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 76632407640 in words is "seventy-six billion, six hundred thirty-two million, four hundred seven thousand, six hundred forty".