47627680896 has 288 divisors, whose sum is σ = 150640694100. Its totient is φ = 14423851008.

The previous prime is 47627680889. The next prime is 47627680939. The reversal of 47627680896 is 69808672674.

47627680896 is a `hidden beast` number, since 476 + 2 + 7 + 6 + 80 + 89 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 33576897600 + 14050783296 = 183240^2 + 118536^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9652446 + ... + 9657378.

Almost surely, 2^47627680896 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 47627680896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75320347050).

47627680896 is an abundant number, since it is smaller than the sum of its proper divisors (103013013204).

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

47627680896 is a wasteful number, since it uses less digits than its factorization.

47627680896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 47627680896 in words is "forty-seven billion, six hundred twenty-seven million, six hundred eighty thousand, eight hundred ninety-six".