76948506624 has 192 divisors, whose sum is σ = 224257662720. Its totient is φ = 23269621760.

The previous prime is 76948506617. The next prime is 76948506671. The reversal of 76948506624 is 42660584967.

It is a tau number, because it is divible by the number of its divisors (192).

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, 46159039 + ... + 46160705.

It is an arithmetic number, because the mean of its divisors is an integer number (1168008660).

Almost surely, 2^76948506624 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 76948506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112128831360).

76948506624 is an abundant number, since it is smaller than the sum of its proper divisors (147309156096).

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

76948506624 is a wasteful number, since it uses less digits than its factorization.

76948506624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 76948506624 in words is "seventy-six billion, nine hundred forty-eight million, five hundred six thousand, six hundred twenty-four".