76199609728 has 128 divisors (see below), whose sum is σ = 175550976000. Its totient is φ = 32560619520.

The previous prime is 76199609693. The next prime is 76199609749. The reversal of 76199609728 is 82790699167.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 76199609728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31761873 + ... + 31764271.

It is an arithmetic number, because the mean of its divisors is an integer number (1371492000).

Almost surely, 2^76199609728 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 76199609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87775488000).

76199609728 is an abundant number, since it is smaller than the sum of its proper divisors (99351366272).

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

76199609728 is a wasteful number, since it uses less digits than its factorization.

76199609728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 64.

The spelling of 76199609728 in words is "seventy-six billion, one hundred ninety-nine million, six hundred nine thousand, seven hundred twenty-eight".