6978761712 has 480 divisors, whose sum is σ = 23633209600. Its totient is φ = 1986985728.

The previous prime is 6978761701. The next prime is 6978761759. The reversal of 6978761712 is 2171678796.

6978761712 is a `hidden beast` number, since 6 + 9 + 7 + 8 + 7 + 617 + 12 = 666.

It is a super-3 number, since 3×6978761712³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162296763 + ... + 162296805.

Almost surely, 2^6978761712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6978761712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11816604800).

6978761712 is an abundant number, since it is smaller than the sum of its proper divisors (16654447888).

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

6978761712 is a wasteful number, since it uses less digits than its factorization.

6978761712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 80 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 6978761712 is about 83538.9831874916. The cubic root of 6978761712 is about 1910.9945855740.

The spelling of 6978761712 in words is "six billion, nine hundred seventy-eight million, seven hundred sixty-one thousand, seven hundred twelve".