6135320800 has 144 divisors (see below), whose sum is σ = 17214960672. Its totient is φ = 2091571200.

The previous prime is 6135320749. The next prime is 6135320801. The reversal of 6135320800 is 80235316.

It is a super-2 number, since 2×6135320800² = 75284322637825280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6135320801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010574 + ... + 1016626.

It is an arithmetic number, because the mean of its divisors is an integer number (119548338).

Almost surely, 2^6135320800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6135320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8607480336).

6135320800 is an abundant number, since it is smaller than the sum of its proper divisors (11079639872).

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

6135320800 is a wasteful number, since it uses less digits than its factorization.

6135320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 6135320800 is about 78328.2886318857. The cubic root of 6135320800 is about 1830.6799507776.

The spelling of 6135320800 in words is "six billion, one hundred thirty-five million, three hundred twenty thousand, eight hundred".