83641036752 has 400 divisors, whose sum is σ = 299160074752. Its totient is φ = 21969377280.

The previous prime is 83641036747. The next prime is 83641036763. The reversal of 83641036752 is 25763014638.

It is a junction number, because it is equal to n+sod(n) for n = 83641036698 and 83641036707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31959348 + ... + 31961964.

Almost surely, 2^83641036752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83641036752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149580037376).

83641036752 is an abundant number, since it is smaller than the sum of its proper divisors (215519038000).

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

83641036752 is a wasteful number, since it uses less digits than its factorization.

83641036752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 83641036752 in words is "eighty-three billion, six hundred forty-one million, thirty-six thousand, seven hundred fifty-two".