64407208320 has 1792 divisors, whose sum is σ = 298925182080. Its totient is φ = 12899450880.

The previous prime is 64407208297. The next prime is 64407208331. The reversal of 64407208320 is 2380270446.

64407208320 is a `hidden beast` number, since 6 + 440 + 7 + 208 + 3 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 223 ways as a sum of consecutive naturals, for example, 1570907500 + ... + 1570907540.

Almost surely, 2^64407208320 is an apocalyptic number.

64407208320 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 64407208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149462591040).

64407208320 is an abundant number, since it is smaller than the sum of its proper divisors (234517973760).

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

64407208320 is a wasteful number, since it uses less digits than its factorization.

64407208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 64407208320 its reverse (2380270446), we get a palindrome (66787478766).

The spelling of 64407208320 in words is "sixty-four billion, four hundred seven million, two hundred eight thousand, three hundred twenty".