64252907300736 has 1920 divisors, whose sum is σ = 245339118535680. Its totient is φ = 16122022963200.

The previous prime is 64252907300723. The next prime is 64252907300789. The reversal of 64252907300736 is 63700370925246.

64252907300736 is a `hidden beast` number, since 6 + 42 + 5 + 290 + 7 + 300 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×64252907300736² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 114125945191 + ... + 114125945753.

It is an arithmetic number, because the mean of its divisors is an integer number (127780790904).

Almost surely, 2^{64252907300736} is an apocalyptic number.

64252907300736 is a gapful number since it is divisible by the number (66) 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 64252907300736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122669559267840).

64252907300736 is an abundant number, since it is smaller than the sum of its proper divisors (181086211234944).

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

64252907300736 is an equidigital number, since it uses as much as digits as its factorization.

64252907300736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 64252907300736 in words is "sixty-four trillion, two hundred fifty-two billion, nine hundred seven million, three hundred thousand, seven hundred thirty-six".