6968771677440 has 720 divisors, whose sum is σ = 25174575740160. Its totient is φ = 1840620257280.

The previous prime is 6968771677411. The next prime is 6968771677451. The reversal of 6968771677440 is 447761778696.

6968771677440 is a `hidden beast` number, since 6 + 96 + 87 + 7 + 16 + 7 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6968771677440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5535163531 + ... + 5535164789.

It is an arithmetic number, because the mean of its divisors is an integer number (34964688528).

Almost surely, 2^{6968771677440} is an apocalyptic number.

6968771677440 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 6968771677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12587287870080).

6968771677440 is an abundant number, since it is smaller than the sum of its proper divisors (18205804062720).

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

6968771677440 is a wasteful number, since it uses less digits than its factorization.

6968771677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 597445632, while the sum is 72.

The spelling of 6968771677440 in words is "six trillion, nine hundred sixty-eight billion, seven hundred seventy-one million, six hundred seventy-seven thousand, four hundred forty".