64405756800 has 1440 divisors, whose sum is σ = 302263232040. Its totient is φ = 13353984000.

The previous prime is 64405756777. The next prime is 64405756817. The reversal of 64405756800 is 865750446.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 139708570 + ... + 139709030.

Almost surely, 2^64405756800 is an apocalyptic number.

64405756800 is a gapful number since it is divisible by the number (60) 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 64405756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151131616020).

64405756800 is an abundant number, since it is smaller than the sum of its proper divisors (237857475240).

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

64405756800 is a wasteful number, since it uses less digits than its factorization.

64405756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 64405756800 in words is "sixty-four billion, four hundred five million, seven hundred fifty-six thousand, eight hundred".