572612350464 has 1920 divisors, whose sum is σ = 2314377584640. Its totient is φ = 137952460800.

The previous prime is 572612350459. The next prime is 572612350487. The reversal of 572612350464 is 464053216275.

572612350464 is a `hidden beast` number, since 5 + 7 + 2 + 61 + 23 + 504 + 64 = 666.

It is a super-2 number, since 2×572612350464² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8546452959 + ... + 8546453025.

It is an arithmetic number, because the mean of its divisors is an integer number (1205404992).

Almost surely, 2^572612350464 is an apocalyptic number.

572612350464 is a gapful number since it is divisible by the number (54) 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 572612350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157188792320).

572612350464 is an abundant number, since it is smaller than the sum of its proper divisors (1741765234176).

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

572612350464 is a wasteful number, since it uses less digits than its factorization.

572612350464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 572612350464 in words is "five hundred seventy-two billion, six hundred twelve million, three hundred fifty thousand, four hundred sixty-four".