6975366480 has 240 divisors, whose sum is σ = 23895720576. Its totient is φ = 1823155200.

The previous prime is 6975366479. The next prime is 6975366493. The reversal of 6975366480 is 846635796.

6975366480 is a `hidden beast` number, since 69 + 7 + 536 + 6 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9023374 + ... + 9024146.

Almost surely, 2^6975366480 is an apocalyptic number.

6975366480 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 6975366480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11947860288).

6975366480 is an abundant number, since it is smaller than the sum of its proper divisors (16920354096).

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

6975366480 is a wasteful number, since it uses less digits than its factorization.

6975366480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6975366480 is about 83518.6594720006. The cubic root of 6975366480 is about 1910.6846298005.

The spelling of 6975366480 in words is "six billion, nine hundred seventy-five million, three hundred sixty-six thousand, four hundred eighty".