47012575680 has 252 divisors, whose sum is σ = 188104835880. Its totient is φ = 10745699328.

The previous prime is 47012575679. The next prime is 47012575699. The reversal of 47012575680 is 8657521074.

47012575680 is a `hidden beast` number, since 4 + 7 + 0 + 12 + 575 + 68 + 0 = 666.

47012575680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 25450 + ... + 307689.

Almost surely, 2^47012575680 is an apocalyptic number.

47012575680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47012575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94052417940).

47012575680 is an abundant number, since it is smaller than the sum of its proper divisors (141092260200).

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

47012575680 is a wasteful number, since it uses less digits than its factorization.

47012575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333176 (or 333156 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 47012575680 in words is "forty-seven billion, twelve million, five hundred seventy-five thousand, six hundred eighty".