7935801984 has 320 divisors, whose sum is σ = 25992252000. Its totient is φ = 2383534080.

The previous prime is 7935801961. The next prime is 7935802013. The reversal of 7935801984 is 4891085397.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7935801984.

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 39 ways as a sum of consecutive naturals, for example, 16992919 + ... + 16993385.

Almost surely, 2^7935801984 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 7935801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12996126000).

7935801984 is an abundant number, since it is smaller than the sum of its proper divisors (18056450016).

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

7935801984 is a wasteful number, since it uses less digits than its factorization.

7935801984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 7935801984 is about 89083.1184007385. The cubic root of 7935801984 is about 1994.6357908261.

The spelling of 7935801984 in words is "seven billion, nine hundred thirty-five million, eight hundred one thousand, nine hundred eighty-four".