47164293792 has 1008 divisors, whose sum is σ = 183876666624. Its totient is φ = 11855289600.

The previous prime is 47164293751. The next prime is 47164293797. The reversal of 47164293792 is 29739246174.

47164293792 is a `hidden beast` number, since 471 + 64 + 29 + 3 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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.

Its product of digits (4572288) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (47164293797) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1521428817 + ... + 1521428847.

It is an arithmetic number, because the mean of its divisors is an integer number (182417328).

Almost surely, 2^47164293792 is an apocalyptic number.

47164293792 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 47164293792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91938333312).

47164293792 is an abundant number, since it is smaller than the sum of its proper divisors (136712372832).

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

47164293792 is an equidigital number, since it uses as much as digits as its factorization.

47164293792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 54 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 47164293792 in words is "forty-seven billion, one hundred sixty-four million, two hundred ninety-three thousand, seven hundred ninety-two".