1875664628640 has 768 divisors, whose sum is σ = 7273595750400. Its totient is φ = 453231313920.

The previous prime is 1875664628623. The next prime is 1875664628707. The reversal of 1875664628640 is 468264665781.

It is a happy number.

1875664628640 is a `hidden beast` number, since 1 + 8 + 7 + 56 + 6 + 462 + 86 + 40 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1612780699 + ... + 1612781861.

It is an arithmetic number, because the mean of its divisors is an integer number (9470827800).

Almost surely, 2^{1875664628640} is an apocalyptic number.

1875664628640 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 1875664628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636797875200).

1875664628640 is an abundant number, since it is smaller than the sum of its proper divisors (5397931121760).

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

1875664628640 is a wasteful number, since it uses less digits than its factorization.

1875664628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 1875664628640 in words is "one trillion, eight hundred seventy-five billion, six hundred sixty-four million, six hundred twenty-eight thousand, six hundred forty".