8400576000 has 160 divisors (see below), whose sum is σ = 27930453408. Its totient is φ = 2240102400.

The previous prime is 8400575999. The next prime is 8400576007. The reversal of 8400576000 is 6750048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8400576007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170124 + ... + 213876.

Almost surely, 2^8400576000 is an apocalyptic number.

8400576000 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 8400576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13965226704).

8400576000 is an abundant number, since it is smaller than the sum of its proper divisors (19529877408).

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

8400576000 is an equidigital number, since it uses as much as digits as its factorization.

8400576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43789 (or 43763 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 8400576000 is about 91654.6561828694. The cubic root of 8400576000 is about 2032.8391764012.

The spelling of 8400576000 in words is "eight billion, four hundred million, five hundred seventy-six thousand".