83740032000 has 528 divisors, whose sum is σ = 304341278592. Its totient is φ = 22140518400.

The previous prime is 83740031987. The next prime is 83740032049. The reversal of 83740032000 is 23004738.

It is a super-2 number, since 2×83740032000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180863769 + ... + 180864231.

Almost surely, 2^83740032000 is an apocalyptic number.

83740032000 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 83740032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152170639296).

83740032000 is an abundant number, since it is smaller than the sum of its proper divisors (220601246592).

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

83740032000 is a wasteful number, since it uses less digits than its factorization.

83740032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 83740032000 its reverse (23004738), we get a palindrome (83763036738).

The spelling of 83740032000 in words is "eighty-three billion, seven hundred forty million, thirty-two thousand".