128664370800 has 720 divisors, whose sum is σ = 543043725120. Its totient is φ = 27538882560.

The previous prime is 128664370729. The next prime is 128664370811. The reversal of 128664370800 is 8073466821.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99816556 + ... + 99817844.

It is an arithmetic number, because the mean of its divisors is an integer number (754227396).

Almost surely, 2^128664370800 is an apocalyptic number.

128664370800 is a gapful number since it is divisible by the number (10) 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 128664370800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271521862560).

128664370800 is an abundant number, since it is smaller than the sum of its proper divisors (414379354320).

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

128664370800 is a wasteful number, since it uses less digits than its factorization.

128664370800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 128664370800 in words is "one hundred twenty-eight billion, six hundred sixty-four million, three hundred seventy thousand, eight hundred".