573345312768 has 416 divisors, whose sum is σ = 1773871792320. Its totient is φ = 182821847040.

The previous prime is 573345312737. The next prime is 573345312803. The reversal of 573345312768 is 867213543375.

573345312768 is a `hidden beast` number, since 5 + 7 + 3 + 3 + 453 + 127 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (12700800) is a multiple of the sum of its prime divisors (2400).

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, 249604996 + ... + 249607292.

Almost surely, 2^573345312768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 573345312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886935896160).

573345312768 is an abundant number, since it is smaller than the sum of its proper divisors (1200526479552).

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

573345312768 is a wasteful number, since it uses less digits than its factorization.

573345312768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2400 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 573345312768 in words is "five hundred seventy-three billion, three hundred forty-five million, three hundred twelve thousand, seven hundred sixty-eight".