64364270400 has 504 divisors, whose sum is σ = 239772748800. Its totient is φ = 16353792000.

The previous prime is 64364270389. The next prime is 64364270423. The reversal of 64364270400 is 407246346.

64364270400 is a `hidden beast` number, since 6 + 4 + 3 + 642 + 7 + 0 + 4 + 0 + 0 = 666.

64364270400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32989425 + ... + 32991375.

Almost surely, 2^64364270400 is an apocalyptic number.

64364270400 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 64364270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119886374400).

64364270400 is an abundant number, since it is smaller than the sum of its proper divisors (175408478400).

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

64364270400 is a wasteful number, since it uses less digits than its factorization.

64364270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 64364270400 in words is "sixty-four billion, three hundred sixty-four million, two hundred seventy thousand, four hundred".