6156550400 has 648 divisors, whose sum is σ = 21141271872. Its totient is φ = 1714176000.

The previous prime is 6156550399. The next prime is 6156550403. The reversal of 6156550400 is 40556516.

It is a super-2 number, since 2×6156550400² = 75806225655480320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (6156550403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198598385 + ... + 198598415.

Almost surely, 2^6156550400 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 6156550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10570635936).

6156550400 is an abundant number, since it is smaller than the sum of its proper divisors (14984721472).

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

6156550400 is a wasteful number, since it uses less digits than its factorization.

6156550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 6156550400 is about 78463.6884169996. The cubic root of 6156550400 is about 1832.7890424641.

The spelling of 6156550400 in words is "six billion, one hundred fifty-six million, five hundred fifty thousand, four hundred".