7977447936 has 120 divisors (see below), whose sum is σ = 23059668060. Its totient is φ = 2654969856.

The previous prime is 7977447917. The next prime is 7977447943. The reversal of 7977447936 is 6397447797.

7977447936 is a `hidden beast` number, since 7 + 97 + 74 + 479 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5876142336 + 2101305600 = 76656^2 + 45840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4667050 + ... + 4668758.

Almost surely, 2^7977447936 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 7977447936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11529834030).

7977447936 is an abundant number, since it is smaller than the sum of its proper divisors (15082220124).

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

7977447936 is a wasteful number, since it uses less digits than its factorization.

7977447936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2727 counting only the distinct ones).

The product of its digits is 56010528, while the sum is 63.

The square root of 7977447936 is about 89316.5602562033. The cubic root of 7977447936 is about 1998.1188926055.

The spelling of 7977447936 in words is "seven billion, nine hundred seventy-seven million, four hundred forty-seven thousand, nine hundred thirty-six".