6252735840 has 384 divisors, whose sum is σ = 23308508160. Its totient is φ = 1394122752.

The previous prime is 6252735833. The next prime is 6252735871. The reversal of 6252735840 is 485372526.

It is a super-3 number, since 3×6252735840³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6252735792 and 6252735801.

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, 2725734 + ... + 2728026.

It is an arithmetic number, because the mean of its divisors is an integer number (60699240).

Almost surely, 2^6252735840 is an apocalyptic number.

6252735840 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 6252735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654254080).

6252735840 is an abundant number, since it is smaller than the sum of its proper divisors (17055772320).

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

6252735840 is a wasteful number, since it uses less digits than its factorization.

6252735840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 6252735840 is about 79074.2425825249. The cubic root of 6252735840 is about 1842.2844813325.

The spelling of 6252735840 in words is "six billion, two hundred fifty-two million, seven hundred thirty-five thousand, eight hundred forty".