4972663872 has 560 divisors, whose sum is σ = 17348728320. Its totient is φ = 1393459200.

The previous prime is 4972663853. The next prime is 4972663909. The reversal of 4972663872 is 2783662794.

4972663872 is a `hidden beast` number, since 497 + 26 + 63 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6096384) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51264528 + ... + 51264624.

It is an arithmetic number, because the mean of its divisors is an integer number (30979872).

Almost surely, 2^4972663872 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 4972663872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8674364160).

4972663872 is an abundant number, since it is smaller than the sum of its proper divisors (12376064448).

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

4972663872 is a wasteful number, since it uses less digits than its factorization.

4972663872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 4972663872 is about 70517.1175814780. The cubic root of 4972663872 is about 1706.8539754814.

The spelling of 4972663872 in words is "four billion, nine hundred seventy-two million, six hundred sixty-three thousand, eight hundred seventy-two".