47908433664000 has 6048 divisors, whose sum is σ = 233063674945920. Its totient is φ = 9782083584000.

The previous prime is 47908433663953. The next prime is 47908433664017. The reversal of 47908433664000 is 46633480974.

47908433664000 is a `hidden beast` number, since 4 + 79 + 0 + 84 + 33 + 66 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×47908433664000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1545433343985 + ... + 1545433344015.

It is an arithmetic number, because the mean of its divisors is an integer number (38535660540).

Almost surely, 2^{47908433664000} is an apocalyptic number.

47908433664000 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 47908433664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116531837472960).

47908433664000 is an abundant number, since it is smaller than the sum of its proper divisors (185155241281920).

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

47908433664000 is an equidigital number, since it uses as much as digits as its factorization.

47908433664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 47908433664000 in words is "forty-seven trillion, nine hundred eight billion, four hundred thirty-three million, six hundred sixty-four thousand".