64892318400 has 1344 divisors, whose sum is σ = 308590248960. Its totient is φ = 12872908800.

The previous prime is 64892318389. The next prime is 64892318431. The reversal of 64892318400 is 481329846.

It is a happy number.

64892318400 is a `hidden beast` number, since 6 + 4 + 8 + 9 + 231 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×64892318400² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66829915 + ... + 66830885.

It is an arithmetic number, because the mean of its divisors is an integer number (229605840).

Almost surely, 2^64892318400 is an apocalyptic number.

64892318400 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 64892318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154295124480).

64892318400 is an abundant number, since it is smaller than the sum of its proper divisors (243697930560).

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

64892318400 is a wasteful number, since it uses less digits than its factorization.

64892318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 64892318400 in words is "sixty-four billion, eight hundred ninety-two million, three hundred eighteen thousand, four hundred".