83832529440 has 192 divisors, whose sum is σ = 295106136192. Its totient is φ = 19827302400.

The previous prime is 83832529423. The next prime is 83832529447. The reversal of 83832529440 is 4492523838.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83832529440.

It is not an unprimeable number, because it can be changed into a prime (83832529447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22854 + ... + 410106.

It is an arithmetic number, because the mean of its divisors is an integer number (1537011126).

Almost surely, 2^83832529440 is an apocalyptic number.

83832529440 is a gapful number since it is divisible by the number (80) 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 83832529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147553068096).

83832529440 is an abundant number, since it is smaller than the sum of its proper divisors (211273606752).

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

83832529440 is a wasteful number, since it uses less digits than its factorization.

83832529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387323 (or 387315 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 83832529440 in words is "eighty-three billion, eight hundred thirty-two million, five hundred twenty-nine thousand, four hundred forty".