83078036600640 has 224 divisors, whose sum is σ = 268111154359296. Its totient is φ = 21789802659840.

The previous prime is 83078036600617. The next prime is 83078036600659. The reversal of 83078036600640 is 4600663087038.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2130568984 + ... + 2130607976.

Almost surely, 2^{83078036600640} is an apocalyptic number.

83078036600640 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 83078036600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134055577179648).

83078036600640 is an abundant number, since it is smaller than the sum of its proper divisors (185033117758656).

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

83078036600640 is a wasteful number, since it uses less digits than its factorization.

83078036600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75457 (or 75447 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

Adding to 83078036600640 its reverse (4600663087038), we get a palindrome (87678699687678).

The spelling of 83078036600640 in words is "eighty-three trillion, seventy-eight billion, thirty-six million, six hundred thousand, six hundred forty".