6983268480 has 96 divisors (see below), whose sum is σ = 24114118860. Its totient is φ = 1862203392.

The previous prime is 6983268443. The next prime is 6983268503. The reversal of 6983268480 is 848623896.

6983268480 is a `hidden beast` number, since 69 + 83 + 26 + 8 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6947555904 + 35712576 = 83352^2 + 5976^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600427 + ... + 611946.

Almost surely, 2^6983268480 is an apocalyptic number.

6983268480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6983268480 is an abundant number, since it is smaller than the sum of its proper divisors (17130850380).

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

6983268480 is a wasteful number, since it uses less digits than its factorization.

6983268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212398 (or 1212383 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 6983268480 is about 83565.9528755581. The cubic root of 6983268480 is about 1911.4058598731.

The spelling of 6983268480 in words is "six billion, nine hundred eighty-three million, two hundred sixty-eight thousand, four hundred eighty".