6309749160 has 576 divisors, whose sum is σ = 25488328320. Its totient is φ = 1332080640.

The previous prime is 6309749141. The next prime is 6309749167. The reversal of 6309749160 is 619479036.

6309749160 is a `hidden beast` number, since 630 + 9 + 7 + 4 + 9 + 1 + 6 + 0 = 666.

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 (6309749167) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86434884 + ... + 86434956.

It is an arithmetic number, because the mean of its divisors is an integer number (44250570).

Almost surely, 2^6309749160 is an apocalyptic number.

6309749160 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 6309749160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12744164160).

6309749160 is an abundant number, since it is smaller than the sum of its proper divisors (19178579160).

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

6309749160 is a wasteful number, since it uses less digits than its factorization.

6309749160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 6309749160 is about 79433.9295263680. The cubic root of 6309749160 is about 1847.8669508417.

The spelling of 6309749160 in words is "six billion, three hundred nine million, seven hundred forty-nine thousand, one hundred sixty".