6831374760 has 640 divisors, whose sum is σ = 28101427200. Its totient is φ = 1453800960.

The previous prime is 6831374749. The next prime is 6831374761. The reversal of 6831374760 is 674731386.

It is a super-2 number, since 2×6831374760² = 93335362223130115200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6831374761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35766265 + ... + 35766455.

It is an arithmetic number, because the mean of its divisors is an integer number (43908480).

Almost surely, 2^6831374760 is an apocalyptic number.

6831374760 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 6831374760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14050713600).

6831374760 is an abundant number, since it is smaller than the sum of its proper divisors (21270052440).

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

6831374760 is a wasteful number, since it uses less digits than its factorization.

6831374760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6831374760 is about 82652.1310070103. The cubic root of 6831374760 is about 1897.4457607643.

The spelling of 6831374760 in words is "six billion, eight hundred thirty-one million, three hundred seventy-four thousand, seven hundred sixty".