8155468800 has 924 divisors, whose sum is σ = 33292080480. Its totient is φ = 1970749440.

The previous prime is 8155468799. The next prime is 8155468817. The reversal of 8155468800 is 88645518.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 354585589 + ... + 354585611.

Almost surely, 2^8155468800 is an apocalyptic number.

8155468800 is a gapful number since it is divisible by the number (80) 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 8155468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16646040240).

8155468800 is an abundant number, since it is smaller than the sum of its proper divisors (25136611680).

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

8155468800 is a wasteful number, since it uses less digits than its factorization.

8155468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 8155468800 is about 90307.6342287849. The cubic root of 8155468800 is about 2012.8727023430.

The spelling of 8155468800 in words is "eight billion, one hundred fifty-five million, four hundred sixty-eight thousand, eight hundred".