4972324320 has 576 divisors, whose sum is σ = 19020718080. Its totient is φ = 1222760448.

The previous prime is 4972324319. The next prime is 4972324337. The reversal of 4972324320 is 234232794.

It is a happy number.

4972324320 is a `hidden beast` number, since 4 + 9 + 7 + 2 + 324 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 39152097 + ... + 39152223.

It is an arithmetic number, because the mean of its divisors is an integer number (33022080).

Almost surely, 2^4972324320 is an apocalyptic number.

4972324320 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 4972324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510359040).

4972324320 is an abundant number, since it is smaller than the sum of its proper divisors (14048393760).

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

4972324320 is a wasteful number, since it uses less digits than its factorization.

4972324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4972324320 is about 70514.7099547321. The cubic root of 4972324320 is about 1706.8151244826.

The spelling of 4972324320 in words is "four billion, nine hundred seventy-two million, three hundred twenty-four thousand, three hundred twenty".