6845971829760 has 3168 divisors, whose sum is σ = 31320981798912. Its totient is φ = 1350036357120.

The previous prime is 6845971829731. The next prime is 6845971829797. The reversal of 6845971829760 is 679281795486.

6845971829760 is a `hidden beast` number, since 6 + 8 + 4 + 597 + 1 + 8 + 29 + 7 + 6 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 66465745869 + ... + 66465745971.

Almost surely, 2^{6845971829760} is an apocalyptic number.

6845971829760 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 6845971829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660490899456).

6845971829760 is an abundant number, since it is smaller than the sum of its proper divisors (24475009969152).

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

6845971829760 is a wasteful number, since it uses less digits than its factorization.

6845971829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 6845971829760 in words is "six trillion, eight hundred forty-five billion, nine hundred seventy-one million, eight hundred twenty-nine thousand, seven hundred sixty".