1007849642832 has 240 divisors, whose sum is σ = 2959205812992. Its totient is φ = 319897589760.

The previous prime is 1007849642827. The next prime is 1007849642897. The reversal of 1007849642832 is 2382469487001.

1007849642832 is a `hidden beast` number, since 1 + 0 + 0 + 78 + 496 + 4 + 2 + 83 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 51815733 + ... + 51835179.

Almost surely, 2^{1007849642832} is an apocalyptic number.

1007849642832 is a gapful number since it is divisible by the number (12) 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 1007849642832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479602906496).

1007849642832 is an abundant number, since it is smaller than the sum of its proper divisors (1951356170160).

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

1007849642832 is a wasteful number, since it uses less digits than its factorization.

1007849642832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19706 (or 19697 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1007849642832 in words is "one trillion, seven billion, eight hundred forty-nine million, six hundred forty-two thousand, eight hundred thirty-two".