6252595440 has 320 divisors, whose sum is σ = 24217783296. Its totient is φ = 1299234816.

The previous prime is 6252595423. The next prime is 6252595441. The reversal of 6252595440 is 445952526.

It is a super-3 number, since 3×6252595440³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6252595392 and 6252595401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6252595441) 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, 1461144 + ... + 1465416.

Almost surely, 2^6252595440 is an apocalyptic number.

6252595440 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 6252595440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108891648).

6252595440 is an abundant number, since it is smaller than the sum of its proper divisors (17965187856).

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

6252595440 is a wasteful number, since it uses less digits than its factorization.

6252595440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 6252595440 is about 79073.3548042575. The cubic root of 6252595440 is about 1842.2706922390.

The spelling of 6252595440 in words is "six billion, two hundred fifty-two million, five hundred ninety-five thousand, four hundred forty".