532797834240 has 1056 divisors, whose sum is σ = 2209430006784. Its totient is φ = 120593940480.

The previous prime is 532797834229. The next prime is 532797834271. The reversal of 532797834240 is 42438797235.

It is a happy number.

532797834240 is a `hidden beast` number, since 5 + 327 + 9 + 78 + 3 + 4 + 240 = 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 95 ways as a sum of consecutive naturals, for example, 1140894487 + ... + 1140894953.

It is an arithmetic number, because the mean of its divisors is an integer number (2092263264).

Almost surely, 2^532797834240 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 532797834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104715003392).

532797834240 is an abundant number, since it is smaller than the sum of its proper divisors (1676632172544).

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

532797834240 is a wasteful number, since it uses less digits than its factorization.

532797834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 615 counting only the distinct ones).

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

The spelling of 532797834240 in words is "five hundred thirty-two billion, seven hundred ninety-seven million, eight hundred thirty-four thousand, two hundred forty".