6882408000 has 1120 divisors, whose sum is σ = 29534144640. Its totient is φ = 1567641600.

The previous prime is 6882407951. The next prime is 6882408007. The reversal of 6882408000 is 8042886.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6882408007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160055979 + ... + 160056021.

It is an arithmetic number, because the mean of its divisors is an integer number (26369772).

Almost surely, 2^6882408000 is an apocalyptic number.

6882408000 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 6882408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767072320).

6882408000 is an abundant number, since it is smaller than the sum of its proper divisors (22651736640).

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

6882408000 is a wasteful number, since it uses less digits than its factorization.

6882408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 6882408000 is about 82960.2796523734. The cubic root of 6882408000 is about 1902.1589493888.

The spelling of 6882408000 in words is "six billion, eight hundred eighty-two million, four hundred eight thousand".