6890296497600 has 672 divisors, whose sum is σ = 23374441440000. Its totient is φ = 1776257925120.

The previous prime is 6890296497589. The next prime is 6890296497649. The reversal of 6890296497600 is 67946920986.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4448221626 + ... + 4448223174.

It is an arithmetic number, because the mean of its divisors is an integer number (34783395000).

Almost surely, 2^{6890296497600} is an apocalyptic number.

6890296497600 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 6890296497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11687220720000).

6890296497600 is an abundant number, since it is smaller than the sum of its proper divisors (16484144942400).

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

6890296497600 is a wasteful number, since it uses less digits than its factorization.

6890296497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 6890296497600 in words is "six trillion, eight hundred ninety billion, two hundred ninety-six million, four hundred ninety-seven thousand, six hundred".