64387814400 has 1584 divisors, whose sum is σ = 294919707264. Its totient is φ = 13058703360.

The previous prime is 64387814399. The next prime is 64387814411. The reversal of 64387814400 is 441878346.

64387814400 is a `hidden beast` number, since 6 + 438 + 78 + 144 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 775756759 + ... + 775756841.

Almost surely, 2^64387814400 is an apocalyptic number.

64387814400 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 64387814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147459853632).

64387814400 is an abundant number, since it is smaller than the sum of its proper divisors (230531892864).

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

64387814400 is a wasteful number, since it uses less digits than its factorization.

64387814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 64387814400 in words is "sixty-four billion, three hundred eighty-seven million, eight hundred fourteen thousand, four hundred".