64853927506944 has 176 divisors, whose sum is σ = 192124411727040. Its totient is φ = 21611396505600.

The previous prime is 64853927506939. The next prime is 64853927506981. The reversal of 64853927506944 is 44960572935846.

64853927506944 is a `hidden beast` number, since 6 + 4 + 8 + 5 + 3 + 9 + 27 + 506 + 94 + 4 = 666.

It is a super-3 number, since 3×64853927506944³ (a number of 42 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 90910747 + ... + 91621349.

Almost surely, 2^{64853927506944} is an apocalyptic number.

64853927506944 is a gapful number since it is divisible by the number (64) 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 64853927506944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96062205863520).

64853927506944 is an abundant number, since it is smaller than the sum of its proper divisors (127270484220096).

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

64853927506944 is a wasteful number, since it uses less digits than its factorization.

64853927506944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713933 (or 713909 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 72.

The spelling of 64853927506944 in words is "sixty-four trillion, eight hundred fifty-three billion, nine hundred twenty-seven million, five hundred six thousand, nine hundred forty-four".