6251249760 has 192 divisors, whose sum is σ = 22554008064. Its totient is φ = 1425715200.

The previous prime is 6251249747. The next prime is 6251249803. The reversal of 6251249760 is 679421526.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1748775 + ... + 1752345.

It is an arithmetic number, because the mean of its divisors is an integer number (117468792).

Almost surely, 2^6251249760 is an apocalyptic number.

6251249760 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 6251249760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11277004032).

6251249760 is an abundant number, since it is smaller than the sum of its proper divisors (16302758304).

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

6251249760 is a wasteful number, since it uses less digits than its factorization.

6251249760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 6251249760 is about 79064.8452853732. The cubic root of 6251249760 is about 1842.1385186097.

The spelling of 6251249760 in words is "six billion, two hundred fifty-one million, two hundred forty-nine thousand, seven hundred sixty".