76649299584 has 512 divisors, whose sum is σ = 250048512000. Its totient is φ = 20483850240.

The previous prime is 76649299561. The next prime is 76649299591. The reversal of 76649299584 is 48599294667.

Its product of digits (235146240) is a multiple of the sum of its prime factors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202240707 + ... + 202241085.

It is an arithmetic number, because the mean of its divisors is an integer number (488376000).

Almost surely, 2^76649299584 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 76649299584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125024256000).

76649299584 is an abundant number, since it is smaller than the sum of its proper divisors (173399212416).

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

76649299584 is a wasteful number, since it uses less digits than its factorization.

76649299584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 69.

The spelling of 76649299584 in words is "seventy-six billion, six hundred forty-nine million, two hundred ninety-nine thousand, five hundred eighty-four".