64689977688064 has 171 divisors, whose sum is σ = 135447800050003. Its totient is φ = 30893386760192.

The previous prime is 64689977688059. The next prime is 64689977688071. The reversal of 64689977688064 is 46088677998646.

The square root of 64689977688064 is 8043008.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94714461867 + ... + 94714462549.

Almost surely, 2^{64689977688064} is an apocalyptic number.

64689977688064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

64689977688064 is the 8043008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64689977688064

64689977688064 is an abundant number, since it is smaller than the sum of its proper divisors (70757822361939).

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

64689977688064 is an frugal number, since it uses more digits than its factorization.

64689977688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 42138206208, while the sum is 88.

The spelling of 64689977688064 in words is "sixty-four trillion, six hundred eighty-nine billion, nine hundred seventy-seven million, six hundred eighty-eight thousand, sixty-four".