532742778400 has 432 divisors, whose sum is σ = 1597678992000. Its totient is φ = 172481218560.

The previous prime is 532742778361. The next prime is 532742778413. The reversal of 532742778400 is 4877247235.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273340626 + ... + 273342574.

It is an arithmetic number, because the mean of its divisors is an integer number (3698331000).

Almost surely, 2^532742778400 is an apocalyptic number.

532742778400 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 532742778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798839496000).

532742778400 is an abundant number, since it is smaller than the sum of its proper divisors (1064936213600).

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

532742778400 is a wasteful number, since it uses less digits than its factorization.

532742778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 49.

The spelling of 532742778400 in words is "five hundred thirty-two billion, seven hundred forty-two million, seven hundred seventy-eight thousand, four hundred".