632564123400 has 576 divisors, whose sum is σ = 2449931140800. Its totient is φ = 144654336000.

The previous prime is 632564123377. The next prime is 632564123407. The reversal of 632564123400 is 4321465236.

632564123400 is a `hidden beast` number, since 6 + 3 + 2 + 5 + 641 + 2 + 3 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (632564123407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90660712 + ... + 90667688.

It is an arithmetic number, because the mean of its divisors is an integer number (4253352675).

Almost surely, 2^632564123400 is an apocalyptic number.

632564123400 is a gapful number since it is divisible by the number (60) 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 632564123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224965570400).

632564123400 is an abundant number, since it is smaller than the sum of its proper divisors (1817367017400).

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

632564123400 is a wasteful number, since it uses less digits than its factorization.

632564123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7270 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 632564123400 its reverse (4321465236), we get a palindrome (636885588636).

The spelling of 632564123400 in words is "six hundred thirty-two billion, five hundred sixty-four million, one hundred twenty-three thousand, four hundred".