60564362400 has 432 divisors, whose sum is σ = 220156143480. Its totient is φ = 15659827200.

The previous prime is 60564362377. The next prime is 60564362471. The reversal of 60564362400 is 426346506.

60564362400 is a `hidden beast` number, since 6 + 0 + 5 + 643 + 6 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 42458256 + 60521904144 = 6516^2 + 246012^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32060656 + ... + 32062544.

Almost surely, 2^60564362400 is an apocalyptic number.

60564362400 is a gapful number since it is divisible by the number (60) 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 60564362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110078071740).

60564362400 is an abundant number, since it is smaller than the sum of its proper divisors (159591781080).

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

60564362400 is a wasteful number, since it uses less digits than its factorization.

60564362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 60564362400 in words is "sixty billion, five hundred sixty-four million, three hundred sixty-two thousand, four hundred".