1864253664 has 384 divisors, whose sum is σ = 6780533760. Its totient is φ = 485222400.

The previous prime is 1864253663. The next prime is 1864253669. The reversal of 1864253664 is 4663524681.

1864253664 is a `hidden beast` number, since 18 + 6 + 42 + 536 + 64 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1864253663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10299654 + ... + 10299834.

It is an arithmetic number, because the mean of its divisors is an integer number (17657640).

Almost surely, 2^1864253664 is an apocalyptic number.

1864253664 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 1864253664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390266880).

1864253664 is an abundant number, since it is smaller than the sum of its proper divisors (4916280096).

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

1864253664 is a wasteful number, since it uses less digits than its factorization.

1864253664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 1864253664 is about 43177.0038793801. The cubic root of 1864253664 is about 1230.7457226888.

The spelling of 1864253664 in words is "one billion, eight hundred sixty-four million, two hundred fifty-three thousand, six hundred sixty-four".