64367906400 has 432 divisors, whose sum is σ = 264308020704. Its totient is φ = 14434467840.

The previous prime is 64367906399. The next prime is 64367906411. The reversal of 64367906400 is 460976346.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2659152 + ... + 2683248.

It is an arithmetic number, because the mean of its divisors is an integer number (611824122).

Almost surely, 2^64367906400 is an apocalyptic number.

64367906400 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 64367906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132154010352).

64367906400 is an abundant number, since it is smaller than the sum of its proper divisors (199940114304).

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

64367906400 is a wasteful number, since it uses less digits than its factorization.

64367906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24183 (or 24167 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 64367906400 in words is "sixty-four billion, three hundred sixty-seven million, nine hundred six thousand, four hundred".