4762568720 has 320 divisors, whose sum is σ = 14165760000. Its totient is φ = 1488195072.

The previous prime is 4762568689. The next prime is 4762568737. The reversal of 4762568720 is 278652674.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60285641 + ... + 60285719.

It is an arithmetic number, because the mean of its divisors is an integer number (44268000).

Almost surely, 2^4762568720 is an apocalyptic number.

4762568720 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 4762568720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082880000).

4762568720 is an abundant number, since it is smaller than the sum of its proper divisors (9403191280).

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

4762568720 is an equidigital number, since it uses as much as digits as its factorization.

4762568720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The square root of 4762568720 is about 69011.3666000029. The cubic root of 4762568720 is about 1682.4690546985.

The spelling of 4762568720 in words is "four billion, seven hundred sixty-two million, five hundred sixty-eight thousand, seven hundred twenty".