47660877792000 has 1728 divisors, whose sum is σ = 196641643161600. Its totient is φ = 11356849152000.

The previous prime is 47660877791957. The next prime is 47660877792007. The reversal of 47660877792000 is 29777806674.

47660877792000 is a `hidden beast` number, since 476 + 6 + 0 + 8 + 7 + 77 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is not an unprimeable number, because it can be changed into a prime (47660877792007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6168092137 + ... + 6168099863.

It is an arithmetic number, because the mean of its divisors is an integer number (113797247200).

Almost surely, 2^{47660877792000} is an apocalyptic number.

47660877792000 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 47660877792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98320821580800).

47660877792000 is an abundant number, since it is smaller than the sum of its proper divisors (148980765369600).

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

47660877792000 is a wasteful number, since it uses less digits than its factorization.

47660877792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 47660877792000 in words is "forty-seven trillion, six hundred sixty billion, eight hundred seventy-seven million, seven hundred ninety-two thousand".