6346152960 has 176 divisors, whose sum is σ = 23197848576. Its totient is φ = 1450524672.

The previous prime is 6346152959. The next prime is 6346152991. The reversal of 6346152960 is 692516436.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78009 + ... + 137031.

Almost surely, 2^6346152960 is an apocalyptic number.

6346152960 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 6346152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11598924288).

6346152960 is an abundant number, since it is smaller than the sum of its proper divisors (16851695616).

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

6346152960 is a wasteful number, since it uses less digits than its factorization.

6346152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59058 (or 59040 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 6346152960 is about 79662.7451196605. The cubic root of 6346152960 is about 1851.4138653654.

The spelling of 6346152960 in words is "six billion, three hundred forty-six million, one hundred fifty-two thousand, nine hundred sixty".