6351148960 has 96 divisors (see below), whose sum is σ = 16179125760. Its totient is φ = 2342089728.

The previous prime is 6351148933. The next prime is 6351148997. The reversal of 6351148960 is 698411536.

It is a super-2 number, since 2×6351148960² = 80674186224218163200, which contains 22 as substring.

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, 2334481 + ... + 2337199.

It is an arithmetic number, because the mean of its divisors is an integer number (168532560).

Almost surely, 2^6351148960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6351148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089562880).

6351148960 is an abundant number, since it is smaller than the sum of its proper divisors (9827976800).

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

6351148960 is a wasteful number, since it uses less digits than its factorization.

6351148960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 6351148960 is about 79694.0961426880. The cubic root of 6351148960 is about 1851.8995789165.

The spelling of 6351148960 in words is "six billion, three hundred fifty-one million, one hundred forty-eight thousand, nine hundred sixty".