47407905941760 has 864 divisors, whose sum is σ = 202608711002880. Its totient is φ = 9966375862272.

The previous prime is 47407905941723. The next prime is 47407905941777. The reversal of 47407905941760 is 6714950970474.

47407905941760 is a `hidden beast` number, since 4 + 7 + 40 + 79 + 0 + 59 + 417 + 60 = 666.

It is a super-2 number, since 2×47407905941760² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290303011 + ... + 290466269.

It is an arithmetic number, because the mean of its divisors is an integer number (234500822920).

Almost surely, 2^{47407905941760} is an apocalyptic number.

47407905941760 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 47407905941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101304355501440).

47407905941760 is an abundant number, since it is smaller than the sum of its proper divisors (155200805061120).

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

47407905941760 is a wasteful number, since it uses less digits than its factorization.

47407905941760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163583 (or 163566 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 47407905941760 in words is "forty-seven trillion, four hundred seven billion, nine hundred five million, nine hundred forty-one thousand, seven hundred sixty".