6373416960 has 560 divisors, whose sum is σ = 24406607016. Its totient is φ = 1585446912.

The previous prime is 6373416949. The next prime is 6373416967. The reversal of 6373416960 is 696143736.

6373416960 is a `hidden beast` number, since 637 + 3 + 4 + 1 + 6 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4087812096 + 2285604864 = 63936^2 + 47808^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6373416967) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 56401864 + ... + 56401976.

Almost surely, 2^6373416960 is an apocalyptic number.

6373416960 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 6373416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12203303508).

6373416960 is an abundant number, since it is smaller than the sum of its proper divisors (18033190056).

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

6373416960 is a wasteful number, since it uses less digits than its factorization.

6373416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 6373416960 is about 79833.6831168398. The cubic root of 6373416960 is about 1854.0613923806.

The spelling of 6373416960 in words is "six billion, three hundred seventy-three million, four hundred sixteen thousand, nine hundred sixty".