6440652504 has 384 divisors, whose sum is σ = 22417274880. Its totient is φ = 1639526400.

The previous prime is 6440652503. The next prime is 6440652523. The reversal of 6440652504 is 4052560446.

6440652504 is a `hidden beast` number, since 64 + 40 + 6 + 52 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6440652503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5425399 + ... + 5426585.

It is an arithmetic number, because the mean of its divisors is an integer number (58378320).

Almost surely, 2^6440652504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6440652504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11208637440).

6440652504 is an abundant number, since it is smaller than the sum of its proper divisors (15976622376).

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

6440652504 is a wasteful number, since it uses less digits than its factorization.

6440652504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 6440652504 is about 80253.6759531923. The cubic root of 6440652504 is about 1860.5583270106.

The spelling of 6440652504 in words is "six billion, four hundred forty million, six hundred fifty-two thousand, five hundred four".