6153472800 has 180 divisors, whose sum is σ = 22440755106. Its totient is φ = 1640908800.

The previous prime is 6153472781. The next prime is 6153472861. The reversal of 6153472800 is 82743516.

6153472800 is a `hidden beast` number, since 61 + 53 + 472 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5666476176 + 486996624 = 75276^2 + 22068^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 29 ways as a sum of consecutive naturals, for example, 17320 + ... + 112280.

Almost surely, 2^6153472800 is an apocalyptic number.

6153472800 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 6153472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11220377553).

6153472800 is an abundant number, since it is smaller than the sum of its proper divisors (16287282306).

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

6153472800 is a wasteful number, since it uses less digits than its factorization.

6153472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94993 (or 94971 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6153472800 is about 78444.0743459951. The cubic root of 6153472800 is about 1832.4835937228.

The spelling of 6153472800 in words is "six billion, one hundred fifty-three million, four hundred seventy-two thousand, eight hundred".