6972866208 has 960 divisors, whose sum is σ = 28101427200. Its totient is φ = 1676505600.

The previous prime is 6972866123. The next prime is 6972866249. The reversal of 6972866208 is 8026682796.

6972866208 is a `hidden beast` number, since 6 + 9 + 7 + 2 + 8 + 6 + 620 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 224931153 + ... + 224931183.

It is an arithmetic number, because the mean of its divisors is an integer number (29272320).

Almost surely, 2^6972866208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6972866208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14050713600).

6972866208 is an abundant number, since it is smaller than the sum of its proper divisors (21128560992).

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

6972866208 is a wasteful number, since it uses less digits than its factorization.

6972866208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 6972866208 is about 83503.6897867394. The cubic root of 6972866208 is about 1910.4563119433.

The spelling of 6972866208 in words is "six billion, nine hundred seventy-two million, eight hundred sixty-six thousand, two hundred eight".