47561264640 has 160 divisors (see below), whose sum is σ = 168941820960. Its totient is φ = 12682985472.

The previous prime is 47561264627. The next prime is 47561264677. The reversal of 47561264640 is 4646216574.

47561264640 is a `hidden beast` number, since 4 + 7 + 561 + 2 + 6 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×47561264640² (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 274929 + ... + 413168.

It is an arithmetic number, because the mean of its divisors is an integer number (1055886381).

Almost surely, 2^47561264640 is an apocalyptic number.

47561264640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47561264640 is an abundant number, since it is smaller than the sum of its proper divisors (121380556320).

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

47561264640 is an equidigital number, since it uses as much as digits as its factorization.

47561264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688129 (or 688107 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 47561264640 in words is "forty-seven billion, five hundred sixty-one million, two hundred sixty-four thousand, six hundred forty".