64347590400 has 216 divisors, whose sum is σ = 212663524080. Its totient is φ = 17134878720.

The previous prime is 64347590381. The next prime is 64347590401. The reversal of 64347590400 is 409574346.

It is a super-2 number, since 2×64347590400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64347590401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16375636 + ... + 16379564.

Almost surely, 2^64347590400 is an apocalyptic number.

64347590400 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 64347590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106331762040).

64347590400 is an abundant number, since it is smaller than the sum of its proper divisors (148315933680).

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

64347590400 is a wasteful number, since it uses less digits than its factorization.

64347590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 64347590400 in words is "sixty-four billion, three hundred forty-seven million, five hundred ninety thousand, four hundred".