6255978000 has 160 divisors (see below), whose sum is σ = 21231200640. Its totient is φ = 1580428800.

The previous prime is 6255977993. The next prime is 6255978011. The reversal of 6255978000 is 8795526.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86562 + ... + 141438.

It is an arithmetic number, because the mean of its divisors is an integer number (132695004).

Almost surely, 2^6255978000 is an apocalyptic number.

6255978000 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 6255978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10615600320).

6255978000 is an abundant number, since it is smaller than the sum of its proper divisors (14975222640).

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

6255978000 is a wasteful number, since it uses less digits than its factorization.

6255978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54922 (or 54906 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 6255978000 is about 79094.7406595407. The cubic root of 6255978000 is about 1842.6028459192.

The spelling of 6255978000 in words is "six billion, two hundred fifty-five million, nine hundred seventy-eight thousand".