564720101035200 has 3360 divisors, whose sum is σ = 2418171969945600. Its totient is φ = 127832214528000.

The previous prime is 564720101035199. The next prime is 564720101035273. The reversal of 564720101035200 is 2530101027465.

564720101035200 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 20 + 1 + 0 + 103 + 520 + 0 = 666.

It is a super-2 number, since 2×564720101035200² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 785424340441 + ... + 785424341159.

Almost surely, 2^{564720101035200} is an apocalyptic number.

564720101035200 is a gapful number since it is divisible by the number (50) 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 564720101035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209085984972800).

564720101035200 is an abundant number, since it is smaller than the sum of its proper divisors (1853451868910400).

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

564720101035200 is a wasteful number, since it uses less digits than its factorization.

564720101035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 564720101035200 in words is "five hundred sixty-four trillion, seven hundred twenty billion, one hundred one million, thirty-five thousand, two hundred".