6130596326400 has 2640 divisors, whose sum is σ = 28513140917184. Its totient is φ = 1267012730880.

The previous prime is 6130596326377. The next prime is 6130596326401. The reversal of 6130596326400 is 46236950316.

6130596326400 is a `hidden beast` number, since 6 + 1 + 3 + 0 + 5 + 9 + 632 + 6 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×6130596326400² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6130596326401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10000972494 + ... + 10000973106.

Almost surely, 2^{6130596326400} is an apocalyptic number.

6130596326400 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 6130596326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256570458592).

6130596326400 is an abundant number, since it is smaller than the sum of its proper divisors (22382544590784).

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

6130596326400 is a wasteful number, since it uses less digits than its factorization.

6130596326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 6130596326400 in words is "six trillion, one hundred thirty billion, five hundred ninety-six million, three hundred twenty-six thousand, four hundred".