567728663040 has 2400 divisors, whose sum is σ = 2690396767872. Its totient is φ = 111078604800.

The previous prime is 567728663039. The next prime is 567728663119. The reversal of 567728663040 is 40366827765.

567728663040 is a `hidden beast` number, since 56 + 7 + 7 + 286 + 6 + 304 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15344017902 + ... + 15344017938.

Almost surely, 2^567728663040 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 567728663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345198383936).

567728663040 is an abundant number, since it is smaller than the sum of its proper divisors (2122668104832).

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

567728663040 is a wasteful number, since it uses less digits than its factorization.

567728663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 567728663040 in words is "five hundred sixty-seven billion, seven hundred twenty-eight million, six hundred sixty-three thousand, forty".