47914090560 has 672 divisors, whose sum is σ = 201327959040. Its totient is φ = 10215051264.

The previous prime is 47914090559. The next prime is 47914090571. The reversal of 47914090560 is 6509041974.

47914090560 is a `hidden beast` number, since 4 + 79 + 14 + 0 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×47914090560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25662747 + ... + 25664613.

Almost surely, 2^47914090560 is an apocalyptic number.

47914090560 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 47914090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100663979520).

47914090560 is an abundant number, since it is smaller than the sum of its proper divisors (153413868480).

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

47914090560 is a wasteful number, since it uses less digits than its factorization.

47914090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 47914090560 in words is "forty-seven billion, nine hundred fourteen million, ninety thousand, five hundred sixty".