1957827564 has 192 divisors, whose sum is σ = 6661939200. Its totient is φ = 481723200.

The previous prime is 1957827481. The next prime is 1957827577. The reversal of 1957827564 is 4657287591.

1957827564 is a `hidden beast` number, since 1 + 9 + 5 + 78 + 2 + 7 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1957827564.

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, 151809 + ... + 164199.

It is an arithmetic number, because the mean of its divisors is an integer number (34697600).

Almost surely, 2^1957827564 is an apocalyptic number.

1957827564 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 1957827564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330969600).

1957827564 is an abundant number, since it is smaller than the sum of its proper divisors (4704111636).

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

1957827564 is a wasteful number, since it uses less digits than its factorization.

1957827564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12441 (or 12433 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 1957827564 is about 44247.3452762988. The cubic root of 1957827564 is about 1251.0024095785.

The spelling of 1957827564 in words is "one billion, nine hundred fifty-seven million, eight hundred twenty-seven thousand, five hundred sixty-four".