83756427040 has 288 divisors, whose sum is σ = 236236404096. Its totient is φ = 27814625280.

The previous prime is 83756427031. The next prime is 83756427043. The reversal of 83756427040 is 4072465738.

It is not an unprimeable number, because it can be changed into a prime (83756427043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28850229 + ... + 28853131.

It is an arithmetic number, because the mean of its divisors is an integer number (820265292).

Almost surely, 2^83756427040 is an apocalyptic number.

83756427040 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 83756427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118118202048).

83756427040 is an abundant number, since it is smaller than the sum of its proper divisors (152479977056).

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

83756427040 is a wasteful number, since it uses less digits than its factorization.

83756427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 83756427040 in words is "eighty-three billion, seven hundred fifty-six million, four hundred twenty-seven thousand, forty".