6097550400 has 252 divisors, whose sum is σ = 22476238512. Its totient is φ = 1625909760.

The previous prime is 6097550369. The next prime is 6097550419. The reversal of 6097550400 is 40557906.

6097550400 is a `hidden beast` number, since 60 + 9 + 7 + 550 + 40 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 380959 + ... + 396641.

Almost surely, 2^6097550400 is an apocalyptic number.

6097550400 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 6097550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11238119256).

6097550400 is an abundant number, since it is smaller than the sum of its proper divisors (16378688112).

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

6097550400 is a wasteful number, since it uses less digits than its factorization.

6097550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15720 (or 15693 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 6097550400 is about 78086.8132273305. The cubic root of 6097550400 is about 1826.9155242554.

The spelling of 6097550400 in words is "six billion, ninety-seven million, five hundred fifty thousand, four hundred".