6831280890 has 192 divisors, whose sum is σ = 21268915200. Its totient is φ = 1488195072.

The previous prime is 6831280889. The next prime is 6831280903. The reversal of 6831280890 is 980821386.

6831280890 = T₁₉₇₄₀ + T₁₉₇₄₁ + ... + T₁₉₇₇₄.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1440964 + ... + 1445696.

It is an arithmetic number, because the mean of its divisors is an integer number (110775600).

Almost surely, 2^6831280890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6831280890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10634457600).

6831280890 is an abundant number, since it is smaller than the sum of its proper divisors (14437634310).

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

6831280890 is a wasteful number, since it uses less digits than its factorization.

6831280890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 6831280890 is about 82651.5631431130. The cubic root of 6831280890 is about 1897.4370697831.

The spelling of 6831280890 in words is "six billion, eight hundred thirty-one million, two hundred eighty thousand, eight hundred ninety".