6975360000 has 660 divisors, whose sum is σ = 28930201872. Its totient is φ = 1585152000.

The previous prime is 6975359957. The next prime is 6975360023. The reversal of 6975360000 is 635796.

It is a happy number.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40319914 + ... + 40320086.

Almost surely, 2^6975360000 is an apocalyptic number.

6975360000 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 6975360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14465100936).

6975360000 is an abundant number, since it is smaller than the sum of its proper divisors (21954841872).

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

6975360000 is a wasteful number, since it uses less digits than its factorization.

6975360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 6975360000 is about 83518.6206782655. The cubic root of 6975360000 is about 1910.6840381355.

Adding to 6975360000 its reverse (635796), we get a palindrome (6975995796).

The spelling of 6975360000 in words is "six billion, nine hundred seventy-five million, three hundred sixty thousand".