47102765472 has 432 divisors, whose sum is σ = 161175111552. Its totient is φ = 13003361280.

The previous prime is 47102765447. The next prime is 47102765531. The reversal of 47102765472 is 27456720174.

47102765472 is a `hidden beast` number, since 4 + 7 + 102 + 76 + 5 + 472 = 666.

47102765472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47102765472² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53103013 + ... + 53103899.

It is an arithmetic number, because the mean of its divisors is an integer number (373090536).

Almost surely, 2^47102765472 is an apocalyptic number.

47102765472 is a gapful number since it is divisible by the number (42) 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 47102765472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80587555776).

47102765472 is an abundant number, since it is smaller than the sum of its proper divisors (114072346080).

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

47102765472 is a wasteful number, since it uses less digits than its factorization.

47102765472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 47102765472 in words is "forty-seven billion, one hundred two million, seven hundred sixty-five thousand, four hundred seventy-two".