632349527040 has 1056 divisors, whose sum is σ = 2820340224000. Its totient is φ = 127136563200.

The previous prime is 632349526999. The next prime is 632349527041. The reversal of 632349527040 is 40725943236.

632349527040 is a `hidden beast` number, since 6 + 32 + 349 + 5 + 270 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is not an unprimeable number, because it can be changed into a prime (632349527041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109990086 + ... + 109995834.

Almost surely, 2^632349527040 is an apocalyptic number.

632349527040 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 632349527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410170112000).

632349527040 is an abundant number, since it is smaller than the sum of its proper divisors (2187990696960).

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

632349527040 is a wasteful number, since it uses less digits than its factorization.

632349527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 632349527040 in words is "six hundred thirty-two billion, three hundred forty-nine million, five hundred twenty-seven thousand, forty".