64242902253600 has 3456 divisors, whose sum is σ = 288082361548800. Its totient is φ = 13151467929600.

The previous prime is 64242902253583. The next prime is 64242902253601. The reversal of 64242902253600 is 635220924246.

64242902253600 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 2 + 90 + 22 + 536 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (64242902253601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 169506338211 + ... + 169506338589.

It is an arithmetic number, because the mean of its divisors is an integer number (83357164800).

Almost surely, 2^{64242902253600} is an apocalyptic number.

64242902253600 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 64242902253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144041180774400).

64242902253600 is an abundant number, since it is smaller than the sum of its proper divisors (223839459295200).

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

64242902253600 is a wasteful number, since it uses less digits than its factorization.

64242902253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 64242902253600 in words is "sixty-four trillion, two hundred forty-two billion, nine hundred two million, two hundred fifty-three thousand, six hundred".