1880129664 has 512 divisors, whose sum is σ = 6893568000. Its totient is φ = 492687360.

The previous prime is 1880129609. The next prime is 1880129681. The reversal of 1880129664 is 4669210881.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17248842 + ... + 17248950.

It is an arithmetic number, because the mean of its divisors is an integer number (13464000).

Almost surely, 2^1880129664 is an apocalyptic number.

1880129664 is a gapful number since it is divisible by the number (14) 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 1880129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446784000).

1880129664 is an abundant number, since it is smaller than the sum of its proper divisors (5013438336).

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

1880129664 is a wasteful number, since it uses less digits than its factorization.

1880129664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1880129664 is about 43360.4619901587. The cubic root of 1880129664 is about 1234.2295322752.

The spelling of 1880129664 in words is "one billion, eight hundred eighty million, one hundred twenty-nine thousand, six hundred sixty-four".