6130356960 has 384 divisors, whose sum is σ = 23897825280. Its totient is φ = 1286332416.

The previous prime is 6130356949. The next prime is 6130356971. The reversal of 6130356960 is 696530316.

It is an interprime number because it is at equal distance from previous prime (6130356949) and next prime (6130356971).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 12798001 + ... + 12798479.

It is an arithmetic number, because the mean of its divisors is an integer number (62233920).

Almost surely, 2^6130356960 is an apocalyptic number.

6130356960 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 6130356960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11948912640).

6130356960 is an abundant number, since it is smaller than the sum of its proper divisors (17767468320).

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

6130356960 is a wasteful number, since it uses less digits than its factorization.

6130356960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 6130356960 is about 78296.5960945940. The cubic root of 6130356960 is about 1830.1861078604.

It can be divided in two parts, 6130356 and 960, that added together give a palindrome (6131316).

The spelling of 6130356960 in words is "six billion, one hundred thirty million, three hundred fifty-six thousand, nine hundred sixty".