6252742080 has 448 divisors, whose sum is σ = 23964595200. Its totient is φ = 1525616640.

The previous prime is 6252742039. The next prime is 6252742127. The reversal of 6252742080 is 802472526.

6252742080 is a `hidden beast` number, since 625 + 2 + 7 + 4 + 20 + 8 + 0 = 666.

It is a super-3 number, since 3×6252742080³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20105125 + ... + 20105435.

It is an arithmetic number, because the mean of its divisors is an integer number (53492400).

Almost surely, 2^6252742080 is an apocalyptic number.

6252742080 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 6252742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982297600).

6252742080 is an abundant number, since it is smaller than the sum of its proper divisors (17711853120).

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

6252742080 is a wasteful number, since it uses less digits than its factorization.

6252742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6252742080 is about 79074.2820391055. The cubic root of 6252742080 is about 1842.2850941763.

The spelling of 6252742080 in words is "six billion, two hundred fifty-two million, seven hundred forty-two thousand, eighty".