6977718960 has 80 divisors (see below), whose sum is σ = 21744322560. Its totient is φ = 1850970880.

The previous prime is 6977718941. The next prime is 6977718967. The reversal of 6977718960 is 698177796.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6977718894 and 6977718903.

It is not an unprimeable number, because it can be changed into a prime (6977718967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30270 + ... + 121949.

It is an arithmetic number, because the mean of its divisors is an integer number (271804032).

Almost surely, 2^6977718960 is an apocalyptic number.

6977718960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6977718960 is an abundant number, since it is smaller than the sum of its proper divisors (14766603600).

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

6977718960 is a wasteful number, since it uses less digits than its factorization.

6977718960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152426 (or 152420 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 60.

The square root of 6977718960 is about 83532.7418441416. The cubic root of 6977718960 is about 1910.8994018932.

The spelling of 6977718960 in words is "six billion, nine hundred seventy-seven million, seven hundred eighteen thousand, nine hundred sixty".