6908628000 has 384 divisors, whose sum is σ = 24099828480. Its totient is φ = 1725235200.

The previous prime is 6908627989. The next prime is 6908628007. The reversal of 6908628000 is 8268096.

It is a self number, because there is not a number n which added to its sum of digits gives 6908628000.

It is not an unprimeable number, because it can be changed into a prime (6908628007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35795904 + ... + 35796096.

It is an arithmetic number, because the mean of its divisors is an integer number (62759970).

Almost surely, 2^6908628000 is an apocalyptic number.

6908628000 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 6908628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12049914240).

6908628000 is an abundant number, since it is smaller than the sum of its proper divisors (17191200480).

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

6908628000 is a wasteful number, since it uses less digits than its factorization.

6908628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 6908628000 is about 83118.1568611817. The cubic root of 6908628000 is about 1904.5714482982.

The spelling of 6908628000 in words is "six billion, nine hundred eight million, six hundred twenty-eight thousand".