6573162960 has 800 divisors, whose sum is σ = 28675164672. Its totient is φ = 1358622720.

The previous prime is 6573162929. The next prime is 6573162971. The reversal of 6573162960 is 692613756.

6573162960 is a `hidden beast` number, since 6 + 573 + 16 + 2 + 9 + 60 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41867202 + ... + 41867358.

Almost surely, 2^6573162960 is an apocalyptic number.

6573162960 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 6573162960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337582336).

6573162960 is an abundant number, since it is smaller than the sum of its proper divisors (22102001712).

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

6573162960 is a wasteful number, since it uses less digits than its factorization.

6573162960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 6573162960 is about 81075.0452358801. The cubic root of 6573162960 is about 1873.2315613910.

The spelling of 6573162960 in words is "six billion, five hundred seventy-three million, one hundred sixty-two thousand, nine hundred sixty".