632849802120 has 320 divisors, whose sum is σ = 2178541189440. Its totient is φ = 164719526400.

The previous prime is 632849802119. The next prime is 632849802121. The reversal of 632849802120 is 21208948236.

632849802120 is a `hidden beast` number, since 6 + 32 + 8 + 498 + 0 + 2 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (632849802119) and next prime (632849802121).

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 (632849802121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25878619 + ... + 25903061.

It is an arithmetic number, because the mean of its divisors is an integer number (6807941217).

Almost surely, 2^632849802120 is an apocalyptic number.

632849802120 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 632849802120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089270594720).

632849802120 is an abundant number, since it is smaller than the sum of its proper divisors (1545691387320).

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

632849802120 is a wasteful number, since it uses less digits than its factorization.

632849802120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24658 (or 24645 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 632849802120 in words is "six hundred thirty-two billion, eight hundred forty-nine million, eight hundred two thousand, one hundred twenty".