64826318400 has 336 divisors, whose sum is σ = 220138142400. Its totient is φ = 16690544640.

The previous prime is 64826318369. The next prime is 64826318413. The reversal of 64826318400 is 481362846.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18367836 + ... + 18371364.

Almost surely, 2^64826318400 is an apocalyptic number.

64826318400 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 64826318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110069071200).

64826318400 is an abundant number, since it is smaller than the sum of its proper divisors (155311824000).

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

64826318400 is a wasteful number, since it uses less digits than its factorization.

64826318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 64826318400 in words is "sixty-four billion, eight hundred twenty-six million, three hundred eighteen thousand, four hundred".