6462300960 has 384 divisors, whose sum is σ = 23286009600. Its totient is φ = 1673256960.

The previous prime is 6462300907. The next prime is 6462300973. The reversal of 6462300960 is 690032646.

6462300960 is a `hidden beast` number, since 646 + 2 + 3 + 0 + 0 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×6462300960² = 83522667395233843200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36102151 + ... + 36102329.

It is an arithmetic number, because the mean of its divisors is an integer number (60640650).

Almost surely, 2^6462300960 is an apocalyptic number.

6462300960 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 6462300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11643004800).

6462300960 is an abundant number, since it is smaller than the sum of its proper divisors (16823708640).

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

6462300960 is a wasteful number, since it uses less digits than its factorization.

6462300960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

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

The square root of 6462300960 is about 80388.4379746242. The cubic root of 6462300960 is about 1862.6405783115.

The spelling of 6462300960 in words is "six billion, four hundred sixty-two million, three hundred thousand, nine hundred sixty".