64839163845456 has 720 divisors, whose sum is σ = 248148722465280. Its totient is φ = 15535825643520.

The previous prime is 64839163845413. The next prime is 64839163845539. The reversal of 64839163845456 is 65454836193846.

64839163845456 is a `hidden beast` number, since 6 + 4 + 8 + 3 + 9 + 163 + 8 + 4 + 5 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1627509985 + ... + 1627549823.

It is an arithmetic number, because the mean of its divisors is an integer number (344651003424).

Almost surely, 2^{64839163845456} is an apocalyptic number.

64839163845456 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 64839163845456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124074361232640).

64839163845456 is an abundant number, since it is smaller than the sum of its proper divisors (183309558619824).

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

64839163845456 is a wasteful number, since it uses less digits than its factorization.

64839163845456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41504 (or 41488 counting only the distinct ones).

The product of its digits is 1791590400, while the sum is 72.

The spelling of 64839163845456 in words is "sixty-four trillion, eight hundred thirty-nine billion, one hundred sixty-three million, eight hundred forty-five thousand, four hundred fifty-six".