6342312960 has 440 divisors, whose sum is σ = 23344004376. Its totient is φ = 1645608960.

The previous prime is 6342312953. The next prime is 6342312967. The reversal of 6342312960 is 692132436.

6342312960 is a `hidden beast` number, since 634 + 2 + 3 + 12 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6342312953) and next prime (6342312967).

It can be written as a sum of positive squares in 4 ways, for example, as 23970816 + 6318342144 = 4896^2 + 79488^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6342312967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17003334 + ... + 17003706.

Almost surely, 2^6342312960 is an apocalyptic number.

6342312960 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 6342312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11672002188).

6342312960 is an abundant number, since it is smaller than the sum of its proper divisors (17001691416).

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

6342312960 is a wasteful number, since it uses less digits than its factorization.

6342312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6342312960 is about 79638.6398678430. The cubic root of 6342312960 is about 1851.0403654030.

The spelling of 6342312960 in words is "six billion, three hundred forty-two million, three hundred twelve thousand, nine hundred sixty".