64390077504 has 189 divisors, whose sum is σ = 188211419487. Its totient is φ = 21047205888.

The previous prime is 64390077491. The next prime is 64390077517. The reversal of 64390077504 is 40577009346.

The square root of 64390077504 is 253752.

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

It is an interprime number because it is at equal distance from previous prime (64390077491) and next prime (64390077517).

It can be written as a sum of positive squares in 4 ways, for example, as 1465358400 + 62924719104 = 38280^2 + 250848^2 .

It is a super-2 number, since 2×64390077504² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64390077504.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 590734602 + ... + 590734710.

Almost surely, 2^64390077504 is an apocalyptic number.

64390077504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

64390077504 is the 253752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64390077504

64390077504 is an abundant number, since it is smaller than the sum of its proper divisors (123821341983).

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

64390077504 is an equidigital number, since it uses as much as digits as its factorization.

64390077504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 64390077504 in words is "sixty-four billion, three hundred ninety million, seventy-seven thousand, five hundred four".