47793618432 has 600 divisors, whose sum is σ = 171875171160. Its totient is φ = 13168189440.

The previous prime is 47793618337. The next prime is 47793618469. The reversal of 47793618432 is 23481639774.

47793618432 is a `hidden beast` number, since 477 + 9 + 3 + 61 + 84 + 32 = 666.

It is a super-2 number, since 2×47793618432² (a number of 22 digits) contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58931307 + ... + 58932117.

Almost surely, 2^47793618432 is an apocalyptic number.

47793618432 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 47793618432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85937585580).

47793618432 is an abundant number, since it is smaller than the sum of its proper divisors (124081552728).

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

47793618432 is an equidigital number, since it uses as much as digits as its factorization.

47793618432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 852 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 47793618432 in words is "forty-seven billion, seven hundred ninety-three million, six hundred eighteen thousand, four hundred thirty-two".