47359851264 has 432 divisors, whose sum is σ = 157034142720. Its totient is φ = 13587087360.

The previous prime is 47359851263. The next prime is 47359851271. The reversal of 47359851264 is 46215895374.

It is a happy number.

47359851264 is a `hidden beast` number, since 4 + 7 + 35 + 98 + 512 + 6 + 4 = 666.

47359851264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47359851264.

It is not an unprimeable number, because it can be changed into a prime (47359851263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65868697 + ... + 65869415.

It is an arithmetic number, because the mean of its divisors is an integer number (363504960).

Almost surely, 2^47359851264 is an apocalyptic number.

47359851264 is a gapful number since it is divisible by the number (44) 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 47359851264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78517071360).

47359851264 is an abundant number, since it is smaller than the sum of its proper divisors (109674291456).

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

47359851264 is a wasteful number, since it uses less digits than its factorization.

47359851264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 871 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 47359851264 in words is "forty-seven billion, three hundred fifty-nine million, eight hundred fifty-one thousand, two hundred sixty-four".