47772766186560 has 1344 divisors, whose sum is σ = 183245680410624. Its totient is φ = 11381078016000.

The previous prime is 47772766186493. The next prime is 47772766186573. The reversal of 47772766186560 is 6568166727774.

47772766186560 is a `hidden beast` number, since 47 + 7 + 7 + 2 + 7 + 6 + 6 + 18 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9649112085 + ... + 9649117035.

Almost surely, 2^{47772766186560} is an apocalyptic number.

47772766186560 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 47772766186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91622840205312).

47772766186560 is an abundant number, since it is smaller than the sum of its proper divisors (135472914224064).

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

47772766186560 is a wasteful number, since it uses less digits than its factorization.

47772766186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 47772766186560 in words is "forty-seven trillion, seven hundred seventy-two billion, seven hundred sixty-six million, one hundred eighty-six thousand, five hundred sixty".