64331366400 has 900 divisors, whose sum is σ = 273349653808. Its totient is φ = 14651228160.

The previous prime is 64331366381. The next prime is 64331366417. The reversal of 64331366400 is 466313346.

64331366400 is a `hidden beast` number, since 6 + 4 + 3 + 3 + 1 + 3 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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 59 ways as a sum of consecutive naturals, for example, 232243062 + ... + 232243338.

Almost surely, 2^64331366400 is an apocalyptic number.

64331366400 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 64331366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136674826904).

64331366400 is an abundant number, since it is smaller than the sum of its proper divisors (209018287408).

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

64331366400 is an equidigital number, since it uses as much as digits as its factorization.

64331366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 64331366400 its reverse (466313346), we get a palindrome (64797679746).

The spelling of 64331366400 in words is "sixty-four billion, three hundred thirty-one million, three hundred sixty-six thousand, four hundred".