6252870960 has 480 divisors, whose sum is σ = 25069824000. Its totient is φ = 1366493184.

The previous prime is 6252870959. The next prime is 6252870971. The reversal of 6252870960 is 690782526.

6252870960 is a `hidden beast` number, since 62 + 528 + 7 + 0 + 9 + 60 = 666.

It is a super-2 number, since 2×6252870960² = 78196790484822643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26162521 + ... + 26162759.

It is an arithmetic number, because the mean of its divisors is an integer number (52228800).

Almost surely, 2^6252870960 is an apocalyptic number.

6252870960 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 6252870960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534912000).

6252870960 is an abundant number, since it is smaller than the sum of its proper divisors (18816953040).

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

6252870960 is a wasteful number, since it uses less digits than its factorization.

6252870960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6252870960 is about 79075.0969648473. The cubic root of 6252870960 is about 1842.2977516669.

The spelling of 6252870960 in words is "six billion, two hundred fifty-two million, eight hundred seventy thousand, nine hundred sixty".