47907741796992 has 1280 divisors, whose sum is σ = 185217677568000. Its totient is φ = 11927244349440.

The previous prime is 47907741796973. The next prime is 47907741797051. The reversal of 47907741796992 is 29969714770974.

47907741796992 is a `hidden beast` number, since 4 + 79 + 0 + 77 + 417 + 9 + 69 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3218084973 + ... + 3218099859.

It is an arithmetic number, because the mean of its divisors is an integer number (144701310600).

Almost surely, 2^{47907741796992} is an apocalyptic number.

47907741796992 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 47907741796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92608838784000).

47907741796992 is an abundant number, since it is smaller than the sum of its proper divisors (137309935771008).

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

47907741796992 is a wasteful number, since it uses less digits than its factorization.

47907741796992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15099 (or 15078 counting only the distinct ones).

The product of its (nonzero) digits is 3024568512, while the sum is 81.

The spelling of 47907741796992 in words is "forty-seven trillion, nine hundred seven billion, seven hundred forty-one million, seven hundred ninety-six thousand, nine hundred ninety-two".