47772832968 has 256 divisors, whose sum is σ = 160376832000. Its totient is φ = 12886387200.

The previous prime is 47772832967. The next prime is 47772832973. The reversal of 47772832968 is 86923827774.

47772832968 is a `hidden beast` number, since 477 + 7 + 2 + 83 + 29 + 68 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (47772832967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1909323 + ... + 1934181.

It is an arithmetic number, because the mean of its divisors is an integer number (626472000).

Almost surely, 2^47772832968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47772832968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80188416000).

47772832968 is an abundant number, since it is smaller than the sum of its proper divisors (112603999032).

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

47772832968 is a wasteful number, since it uses less digits than its factorization.

47772832968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24953 (or 24943 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 47772832968 in words is "forty-seven billion, seven hundred seventy-two million, eight hundred thirty-two thousand, nine hundred sixty-eight".