7950633984 has 264 divisors, whose sum is σ = 25107159168. Its totient is φ = 2412380160.

The previous prime is 7950633947. The next prime is 7950634007. The reversal of 7950633984 is 4893360597.

It is a self number, because there is not a number n which added to its sum of digits gives 7950633984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4856014 + ... + 4857650.

Almost surely, 2^7950633984 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 7950633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12553579584).

7950633984 is an abundant number, since it is smaller than the sum of its proper divisors (17156525184).

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

7950633984 is a wasteful number, since it uses less digits than its factorization.

7950633984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 7950633984 is about 89166.3276354925. The cubic root of 7950633984 is about 1995.8776743869.

The spelling of 7950633984 in words is "seven billion, nine hundred fifty million, six hundred thirty-three thousand, nine hundred eighty-four".