6985008000 has 1024 divisors, whose sum is σ = 29023488000. Its totient is φ = 1642291200.

The previous prime is 6985007969. The next prime is 6985008007. The reversal of 6985008000 is 8005896.

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 (6985008007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188783982 + ... + 188784018.

It is an arithmetic number, because the mean of its divisors is an integer number (28343250).

Almost surely, 2^6985008000 is an apocalyptic number.

6985008000 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 6985008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14511744000).

6985008000 is an abundant number, since it is smaller than the sum of its proper divisors (22038480000).

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

6985008000 is a wasteful number, since it uses less digits than its factorization.

6985008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 6985008000 is about 83576.3602940449. The cubic root of 6985008000 is about 1911.5645559856.

The spelling of 6985008000 in words is "six billion, nine hundred eighty-five million, eight thousand".