6353922960 has 960 divisors, whose sum is σ = 28878151680. Its totient is φ = 1254528000.

The previous prime is 6353922877. The next prime is 6353922973. The reversal of 6353922960 is 692293536.

6353922960 is a `hidden beast` number, since 6 + 3 + 539 + 22 + 96 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42078885 + ... + 42079035.

It is an arithmetic number, because the mean of its divisors is an integer number (30081408).

Almost surely, 2^6353922960 is an apocalyptic number.

6353922960 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 6353922960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14439075840).

6353922960 is an abundant number, since it is smaller than the sum of its proper divisors (22524228720).

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

6353922960 is a wasteful number, since it uses less digits than its factorization.

6353922960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 6353922960 is about 79711.4982922790. The cubic root of 6353922960 is about 1852.1691585743.

The spelling of 6353922960 in words is "six billion, three hundred fifty-three million, nine hundred twenty-two thousand, nine hundred sixty".