47650788864 has 800 divisors, whose sum is σ = 175395559680. Its totient is φ = 12576964608.

The previous prime is 47650788863. The next prime is 47650788881. The reversal of 47650788864 is 46888705674.

47650788864 is a `hidden beast` number, since 47 + 6 + 507 + 8 + 8 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47650788863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 292336047 + ... + 292336209.

Almost surely, 2^47650788864 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 47650788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87697779840).

47650788864 is an abundant number, since it is smaller than the sum of its proper divisors (127744770816).

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

47650788864 is a wasteful number, since it uses less digits than its factorization.

47650788864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 47650788864 in words is "forty-seven billion, six hundred fifty million, seven hundred eighty-eight thousand, eight hundred sixty-four".