64865977344 has 297 divisors, whose sum is σ = 218454941367. Its totient is φ = 18484236288.

The previous prime is 64865977321. The next prime is 64865977367. The reversal of 64865977344 is 44377956846.

It is a happy number.

The square root of 64865977344 is 254688.

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

64865977344 is a `hidden beast` number, since 6 + 4 + 8 + 6 + 597 + 7 + 34 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (64865977321) and next prime (64865977367).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 171150147 + ... + 171150525.

Almost surely, 2^64865977344 is an apocalyptic number.

64865977344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

64865977344 is the 254688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64865977344

64865977344 is an abundant number, since it is smaller than the sum of its proper divisors (153588964023).

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

64865977344 is an equidigital number, since it uses as much as digits as its factorization.

64865977344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 391 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 64865977344 in words is "sixty-four billion, eight hundred sixty-five million, nine hundred seventy-seven thousand, three hundred forty-four".