47379793183632 has 960 divisors, whose sum is σ = 174006862848000. Its totient is φ = 11936049269760.

The previous prime is 47379793183601. The next prime is 47379793183651. The reversal of 47379793183632 is 23638139797374.

47379793183632 is a `hidden beast` number, since 4 + 7 + 379 + 79 + 3 + 183 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×47379793183632² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13571981407 + ... + 13571984897.

It is an arithmetic number, because the mean of its divisors is an integer number (181257148800).

Almost surely, 2^{47379793183632} is an apocalyptic number.

47379793183632 is a gapful number since it is divisible by the number (42) 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 47379793183632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87003431424000).

47379793183632 is an abundant number, since it is smaller than the sum of its proper divisors (126627069664368).

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

47379793183632 is a wasteful number, since it uses less digits than its factorization.

47379793183632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481 (or 4458 counting only the distinct ones).

The product of its digits is 864162432, while the sum is 72.

The spelling of 47379793183632 in words is "forty-seven trillion, three hundred seventy-nine billion, seven hundred ninety-three million, one hundred eighty-three thousand, six hundred thirty-two".