64063247618304 has 1215 divisors, whose sum is σ = 218300564276487. Its totient is φ = 18671619225600.

The previous prime is 64063247618297. The next prime is 64063247618311. The reversal of 64063247618304 is 40381674236046.

The square root of 64063247618304 is 8003952.

It is a perfect power (a square), and thus also a powerful number.

64063247618304 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 324 + 7 + 6 + 1 + 8 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (64063247618297) and next prime (64063247618311).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 393026058927 + ... + 393026059089.

Almost surely, 2^{64063247618304} is an apocalyptic number.

64063247618304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

64063247618304 is the 8003952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64063247618304

64063247618304 is an abundant number, since it is smaller than the sum of its proper divisors (154237316658183).

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

64063247618304 is an equidigital number, since it uses as much as digits as its factorization.

64063247618304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 64063247618304 in words is "sixty-four trillion, sixty-three billion, two hundred forty-seven million, six hundred eighteen thousand, three hundred four".