6130396800 has 576 divisors, whose sum is σ = 24555080160. Its totient is φ = 1443225600.

The previous prime is 6130396757. The next prime is 6130396819. The reversal of 6130396800 is 86930316.

It is a happy number.

6130396800 is a `hidden beast` number, since 613 + 0 + 39 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11721339 + ... + 11721861.

Almost surely, 2^6130396800 is an apocalyptic number.

6130396800 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 6130396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12277540080).

6130396800 is an abundant number, since it is smaller than the sum of its proper divisors (18424683360).

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

6130396800 is a wasteful number, since it uses less digits than its factorization.

6130396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6130396800 is about 78296.8505113711. The cubic root of 6130396800 is about 1830.1900725266.

The spelling of 6130396800 in words is "six billion, one hundred thirty million, three hundred ninety-six thousand, eight hundred".