6252661440 has 168 divisors, whose sum is σ = 21672029808. Its totient is φ = 1654548480.

The previous prime is 6252661423. The next prime is 6252661451. The reversal of 6252661440 is 441662526.

6252661440 is a `hidden beast` number, since 625 + 26 + 6 + 1 + 4 + 4 + 0 = 666.

It is a super-3 number, since 3×6252661440³ (a number of 30 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6252661395 and 6252661404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368994 + ... + 385566.

Almost surely, 2^6252661440 is an apocalyptic number.

6252661440 is a gapful number since it is divisible by the number (60) 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 6252661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10836014904).

6252661440 is an abundant number, since it is smaller than the sum of its proper divisors (15419368368).

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

6252661440 is a wasteful number, since it uses less digits than its factorization.

6252661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16727 (or 16714 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6252661440 is about 79073.7721371632. The cubic root of 6252661440 is about 1842.2771743172.

The spelling of 6252661440 in words is "six billion, two hundred fifty-two million, six hundred sixty-one thousand, four hundred forty".