64399345920 has 576 divisors, whose sum is σ = 281279255040. Its totient is φ = 13586890752.

The previous prime is 64399345867. The next prime is 64399345939. The reversal of 64399345920 is 2954399346.

64399345920 is a `hidden beast` number, since 6 + 43 + 9 + 9 + 3 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3134722 + ... + 3155198.

It is an arithmetic number, because the mean of its divisors is an integer number (488332040).

Almost surely, 2^64399345920 is an apocalyptic number.

64399345920 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 64399345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140639627520).

64399345920 is an abundant number, since it is smaller than the sum of its proper divisors (216879909120).

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

64399345920 is a wasteful number, since it uses less digits than its factorization.

64399345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20527 (or 20507 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 64399345920 in words is "sixty-four billion, three hundred ninety-nine million, three hundred forty-five thousand, nine hundred twenty".