64989388800 has 1344 divisors, whose sum is σ = 288634383360. Its totient is φ = 14014218240.

The previous prime is 64989388781. The next prime is 64989388801. The reversal of 64989388800 is 888398946.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64989388801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890265564 + ... + 890265636.

Almost surely, 2^64989388800 is an apocalyptic number.

64989388800 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 64989388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144317191680).

64989388800 is an abundant number, since it is smaller than the sum of its proper divisors (223644994560).

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

64989388800 is a wasteful number, since it uses less digits than its factorization.

64989388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 64989388800 in words is "sixty-four billion, nine hundred eighty-nine million, three hundred eighty-eight thousand, eight hundred".