6329700960 has 192 divisors, whose sum is σ = 22162533120. Its totient is φ = 1505454080.

The previous prime is 6329700943. The next prime is 6329700977. The reversal of 6329700960 is 690079236.

It is an interprime number because it is at equal distance from previous prime (6329700943) and next prime (6329700977).

It is a super-2 number, since 2×6329700960² = 80130228486049843200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268531 + ... + 291149.

It is an arithmetic number, because the mean of its divisors is an integer number (115429860).

Almost surely, 2^6329700960 is an apocalyptic number.

6329700960 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 6329700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11081266560).

6329700960 is an abundant number, since it is smaller than the sum of its proper divisors (15832832160).

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

6329700960 is a wasteful number, since it uses less digits than its factorization.

6329700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22701 (or 22693 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 6329700960 is about 79559.4177957582. The cubic root of 6329700960 is about 1849.8125897323.

The spelling of 6329700960 in words is "six billion, three hundred twenty-nine million, seven hundred thousand, nine hundred sixty".