6890410800 has 1440 divisors, whose sum is σ = 32909560320. Its totient is φ = 1343692800.

The previous prime is 6890410783. The next prime is 6890410823. The reversal of 6890410800 is 80140986.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 168058780 + ... + 168058820.

Almost surely, 2^6890410800 is an apocalyptic number.

6890410800 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 6890410800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16454780160).

6890410800 is an abundant number, since it is smaller than the sum of its proper divisors (26019149520).

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

6890410800 is a wasteful number, since it uses less digits than its factorization.

6890410800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 6890410800 is about 83008.4983601077. The cubic root of 6890410800 is about 1902.8959347200.

The spelling of 6890410800 in words is "six billion, eight hundred ninety million, four hundred ten thousand, eight hundred".