4772966556800 has 192 divisors, whose sum is σ = 12715888709160. Its totient is φ = 1759801344000.

The previous prime is 4772966556797. The next prime is 4772966556877. The reversal of 4772966556800 is 86556692774.

It can be written as a sum of positive squares in 12 ways, for example, as 58474977856 + 4714491578944 = 241816^2 + 2171288^2 .

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29079764 + ... + 29243436.

Almost surely, 2^{4772966556800} is an apocalyptic number.

4772966556800 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 4772966556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357944354580).

4772966556800 is an abundant number, since it is smaller than the sum of its proper divisors (7942922152360).

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

4772966556800 is a wasteful number, since it uses less digits than its factorization.

4772966556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164411 (or 164394 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 65.

The spelling of 4772966556800 in words is "four trillion, seven hundred seventy-two billion, nine hundred sixty-six million, five hundred fifty-six thousand, eight hundred".