47602560527964 has 1920 divisors, whose sum is σ = 155794312396800. Its totient is φ = 12529218723840.

The previous prime is 47602560527953. The next prime is 47602560527987. The reversal of 47602560527964 is 46972506520674.

47602560527964 is a `hidden beast` number, since 4 + 7 + 6 + 0 + 2 + 560 + 5 + 2 + 7 + 9 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 444883743199 + ... + 444883743305.

It is an arithmetic number, because the mean of its divisors is an integer number (81142871040).

Almost surely, 2^{47602560527964} 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 47602560527964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77897156198400).

47602560527964 is an abundant number, since it is smaller than the sum of its proper divisors (108191751868836).

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

47602560527964 is a wasteful number, since it uses less digits than its factorization.

47602560527964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 47602560527964 in words is "forty-seven trillion, six hundred two billion, five hundred sixty million, five hundred twenty-seven thousand, nine hundred sixty-four".