6156408000 has 112 divisors (see below), whose sum is σ = 20328538464. Its totient is φ = 1641702400.

The previous prime is 6156407989. The next prime is 6156408007. The reversal of 6156408000 is 8046516.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6156408007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104259 + ... + 152258.

Almost surely, 2^6156408000 is an apocalyptic number.

6156408000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6156408000 is an abundant number, since it is smaller than the sum of its proper divisors (14172130464).

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

6156408000 is a wasteful number, since it uses less digits than its factorization.

6156408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256547 (or 256527 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 6156408000 is about 78462.7809856368. The cubic root of 6156408000 is about 1832.7749116519.

The spelling of 6156408000 in words is "six billion, one hundred fifty-six million, four hundred eight thousand".