6248759040 has 288 divisors, whose sum is σ = 22652098560. Its totient is φ = 1630457856.

The previous prime is 6248759017. The next prime is 6248759059. The reversal of 6248759040 is 409578426.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 1622397 + ... + 1626243.

It is an arithmetic number, because the mean of its divisors is an integer number (78653120).

Almost surely, 2^6248759040 is an apocalyptic number.

6248759040 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 6248759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11326049280).

6248759040 is an abundant number, since it is smaller than the sum of its proper divisors (16403339520).

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

6248759040 is a wasteful number, since it uses less digits than its factorization.

6248759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6248759040 is about 79049.0925944125. The cubic root of 6248759040 is about 1841.8938282978.

The spelling of 6248759040 in words is "six billion, two hundred forty-eight million, seven hundred fifty-nine thousand, forty".