83232740786832 has 1920 divisors, whose sum is σ = 333548251545600. Its totient is φ = 19443987283968.

The previous prime is 83232740786803. The next prime is 83232740786861. The reversal of 83232740786832 is 23868704723238.

83232740786832 is a `hidden beast` number, since 8 + 323 + 274 + 0 + 7 + 8 + 6 + 8 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (83232740786803) and next prime (83232740786861).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 83232740786832.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17941955169 + ... + 17941959807.

It is an arithmetic number, because the mean of its divisors is an integer number (173723047680).

Almost surely, 2^{83232740786832} 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 83232740786832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166774125772800).

83232740786832 is an abundant number, since it is smaller than the sum of its proper divisors (250315510758768).

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

83232740786832 is a wasteful number, since it uses less digits than its factorization.

83232740786832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 83232740786832 in words is "eighty-three trillion, two hundred thirty-two billion, seven hundred forty million, seven hundred eighty-six thousand, eight hundred thirty-two".