4972752960 has 896 divisors, whose sum is σ = 21067776000. Its totient is φ = 966131712.

The previous prime is 4972752959. The next prime is 4972753003. The reversal of 4972752960 is 692572794.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62946201 + ... + 62946279.

Almost surely, 2^4972752960 is an apocalyptic number.

4972752960 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 4972752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533888000).

4972752960 is an abundant number, since it is smaller than the sum of its proper divisors (16095023040).

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

4972752960 is a wasteful number, since it uses less digits than its factorization.

4972752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 4972752960 is about 70517.7492550634. The cubic root of 4972752960 is about 1706.8641684955.

The spelling of 4972752960 in words is "four billion, nine hundred seventy-two million, seven hundred fifty-two thousand, nine hundred sixty".