47700938880 has 768 divisors, whose sum is σ = 199956556800. Its totient is φ = 10639060992.

The previous prime is 47700938819. The next prime is 47700938891. The reversal of 47700938880 is 8883900774.

47700938880 is a `hidden beast` number, since 477 + 0 + 0 + 93 + 8 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 46811011 + ... + 46812029.

It is an arithmetic number, because the mean of its divisors is an integer number (260360100).

Almost surely, 2^47700938880 is an apocalyptic number.

47700938880 is a gapful number since it is divisible by the number (40) 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 47700938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99978278400).

47700938880 is an abundant number, since it is smaller than the sum of its proper divisors (152255617920).

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

47700938880 is a wasteful number, since it uses less digits than its factorization.

47700938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 47700938880 in words is "forty-seven billion, seven hundred million, nine hundred thirty-eight thousand, eight hundred eighty".