576264432240 has 640 divisors, whose sum is σ = 2397060864000. Its totient is φ = 124304523264.

The previous prime is 576264432197. The next prime is 576264432257. The reversal of 576264432240 is 42234462675.

576264432240 is a `hidden beast` number, since 576 + 2 + 6 + 4 + 4 + 32 + 2 + 40 = 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 127 ways as a sum of consecutive naturals, for example, 77274592 + ... + 77282048.

It is an arithmetic number, because the mean of its divisors is an integer number (3745407600).

Almost surely, 2^576264432240 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 576264432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198530432000).

576264432240 is an abundant number, since it is smaller than the sum of its proper divisors (1820796431760).

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

576264432240 is a wasteful number, since it uses less digits than its factorization.

576264432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 576264432240 in words is "five hundred seventy-six billion, two hundred sixty-four million, four hundred thirty-two thousand, two hundred forty".