1864364544 has 360 divisors, whose sum is σ = 6549491520. Its totient is φ = 508096512.

The previous prime is 1864364539. The next prime is 1864364549. The reversal of 1864364544 is 4454634681.

1864364544 is a `hidden beast` number, since 1 + 8 + 6 + 43 + 64 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (1864364539) and next prime (1864364549).

It is a self number, because there is not a number n which added to its sum of digits gives 1864364544.

It is not an unprimeable number, because it can be changed into a prime (1864364549) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5193037 + ... + 5193395.

It is an arithmetic number, because the mean of its divisors is an integer number (18193032).

Almost surely, 2^1864364544 is an apocalyptic number.

1864364544 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 1864364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274745760).

1864364544 is an abundant number, since it is smaller than the sum of its proper divisors (4685126976).

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

1864364544 is a wasteful number, since it uses less digits than its factorization.

1864364544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 394 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 1864364544 is about 43178.2878771264. The cubic root of 1864364544 is about 1230.7701225122.

The spelling of 1864364544 in words is "one billion, eight hundred sixty-four million, three hundred sixty-four thousand, five hundred forty-four".