6975216000 has 384 divisors, whose sum is σ = 25505344800. Its totient is φ = 1826304000.

The previous prime is 6975215993. The next prime is 6975216019. The reversal of 6975216000 is 6125796.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8495590 + ... + 8496410.

Almost surely, 2^6975216000 is an apocalyptic number.

6975216000 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 6975216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12752672400).

6975216000 is an abundant number, since it is smaller than the sum of its proper divisors (18530128800).

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

6975216000 is a wasteful number, since it uses less digits than its factorization.

6975216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 6975216000 is about 83517.7585906135. The cubic root of 6975216000 is about 1910.6708899302.

The spelling of 6975216000 in words is "six billion, nine hundred seventy-five million, two hundred sixteen thousand".