6890613600 has 576 divisors, whose sum is σ = 25534365696. Its totient is φ = 1602478080.

The previous prime is 6890613577. The next prime is 6890613607. The reversal of 6890613600 is 63160986.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6890613607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54256737 + ... + 54256863.

It is an arithmetic number, because the mean of its divisors is an integer number (44330496).

Almost surely, 2^6890613600 is an apocalyptic number.

6890613600 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 6890613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767182848).

6890613600 is an abundant number, since it is smaller than the sum of its proper divisors (18643752096).

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

6890613600 is a wasteful number, since it uses less digits than its factorization.

6890613600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 6890613600 is about 83009.7199127909. The cubic root of 6890613600 is about 1902.9146033461.

The spelling of 6890613600 in words is "six billion, eight hundred ninety million, six hundred thirteen thousand, six hundred".