532766822400 has 468 divisors, whose sum is σ = 1915739486388. Its totient is φ = 141514506240.

The previous prime is 532766822369. The next prime is 532766822443. The reversal of 532766822400 is 4228667235.

532766822400 is a `hidden beast` number, since 5 + 327 + 6 + 6 + 82 + 240 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 170459136 + 532596363264 = 13056^2 + 729792^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 270027814 + ... + 270029786.

It is an arithmetic number, because the mean of its divisors is an integer number (4093460441).

Almost surely, 2^532766822400 is an apocalyptic number.

532766822400 is a gapful number since it is divisible by the number (50) 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 532766822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957869743194).

532766822400 is an abundant number, since it is smaller than the sum of its proper divisors (1382972663988).

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

532766822400 is a wasteful number, since it uses less digits than its factorization.

532766822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 532766822400 in words is "five hundred thirty-two billion, seven hundred sixty-six million, eight hundred twenty-two thousand, four hundred".