6850677438720 has 432 divisors, whose sum is σ = 24160319859312. Its totient is φ = 1791743754240.

The previous prime is 6850677438701. The next prime is 6850677438739. The reversal of 6850677438720 is 278347760586.

6850677438720 is a `hidden beast` number, since 6 + 8 + 506 + 7 + 7 + 43 + 87 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6850677438701) and next prime (6850677438739).

It can be written as a sum of positive squares in 8 ways, for example, as 3525802354944 + 3324875083776 = 1877712^2 + 1823424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248046352 + ... + 248073968.

It is an arithmetic number, because the mean of its divisors is an integer number (55926666341).

Almost surely, 2^{6850677438720} is an apocalyptic number.

6850677438720 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 6850677438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12080159929656).

6850677438720 is an abundant number, since it is smaller than the sum of its proper divisors (17309642420592).

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

6850677438720 is a wasteful number, since it uses less digits than its factorization.

6850677438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28058 (or 28041 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 6850677438720 in words is "six trillion, eight hundred fifty billion, six hundred seventy-seven million, four hundred thirty-eight thousand, seven hundred twenty".