64890107443200 has 1728 divisors, whose sum is σ = 246433758480000. Its totient is φ = 15013686804480.

The previous prime is 64890107443123. The next prime is 64890107443229. The reversal of 64890107443200 is 234470109846.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 64890107443200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73488229959 + ... + 73488230841.

It is an arithmetic number, because the mean of its divisors is an integer number (142612128750).

Almost surely, 2^{64890107443200} is an apocalyptic number.

64890107443200 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 64890107443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123216879240000).

64890107443200 is an abundant number, since it is smaller than the sum of its proper divisors (181543651036800).

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

64890107443200 is a wasteful number, since it uses less digits than its factorization.

64890107443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 64890107443200 in words is "sixty-four trillion, eight hundred ninety billion, one hundred seven million, four hundred forty-three thousand, two hundred".