6131745360 has 480 divisors, whose sum is σ = 24227199360. Its totient is φ = 1428793344.

The previous prime is 6131745343. The next prime is 6131745401. The reversal of 6131745360 is 635471316.

6131745360 is a `hidden beast` number, since 613 + 1 + 7 + 4 + 5 + 36 + 0 = 666.

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

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, 4801042 + ... + 4802318.

It is an arithmetic number, because the mean of its divisors is an integer number (50473332).

Almost surely, 2^6131745360 is an apocalyptic number.

6131745360 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 6131745360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12113599680).

6131745360 is an abundant number, since it is smaller than the sum of its proper divisors (18095454000).

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

6131745360 is a wasteful number, since it uses less digits than its factorization.

6131745360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6131745360 is about 78305.4618784667. The cubic root of 6131745360 is about 1830.3242639581.

The spelling of 6131745360 in words is "six billion, one hundred thirty-one million, seven hundred forty-five thousand, three hundred sixty".