47745616464 has 960 divisors, whose sum is σ = 181338393600. Its totient is φ = 11623772160.

The previous prime is 47745616433. The next prime is 47745616469. The reversal of 47745616464 is 46461654774.

47745616464 is a `hidden beast` number, since 4 + 7 + 74 + 561 + 6 + 4 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 47745616464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47745616469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 782714994 + ... + 782715054.

It is an arithmetic number, because the mean of its divisors is an integer number (188894160).

Almost surely, 2^47745616464 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 47745616464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90669196800).

47745616464 is an abundant number, since it is smaller than the sum of its proper divisors (133592777136).

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

47745616464 is a wasteful number, since it uses less digits than its factorization.

47745616464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 47745616464 in words is "forty-seven billion, seven hundred forty-five million, six hundred sixteen thousand, four hundred sixty-four".