64554164400 has 960 divisors, whose sum is σ = 256486440960. Its totient is φ = 13723776000.

The previous prime is 64554164387. The next prime is 64554164417. The reversal of 64554164400 is 446145546.

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, 2082392385 + ... + 2082392415.

It is an arithmetic number, because the mean of its divisors is an integer number (267173376).

Almost surely, 2^64554164400 is an apocalyptic number.

64554164400 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 64554164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128243220480).

64554164400 is an abundant number, since it is smaller than the sum of its proper divisors (191932276560).

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

64554164400 is a wasteful number, since it uses less digits than its factorization.

64554164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 64554164400 in words is "sixty-four billion, five hundred fifty-four million, one hundred sixty-four thousand, four hundred".