6638252544 has 480 divisors, whose sum is σ = 24405473664. Its totient is φ = 1686896640.

The previous prime is 6638252539. The next prime is 6638252561. The reversal of 6638252544 is 4452528366.

6638252544 is a `hidden beast` number, since 6 + 6 + 3 + 82 + 525 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6638252544.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18805072 + ... + 18805424.

Almost surely, 2^6638252544 is an apocalyptic number.

6638252544 is a gapful number since it is divisible by the number (64) 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 6638252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12202736832).

6638252544 is an abundant number, since it is smaller than the sum of its proper divisors (17767221120).

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

6638252544 is a wasteful number, since it uses less digits than its factorization.

6638252544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 6638252544 is about 81475.4720391358. The cubic root of 6638252544 is about 1879.3943786403.

The spelling of 6638252544 in words is "six billion, six hundred thirty-eight million, two hundred fifty-two thousand, five hundred forty-four".