108367064879040 has 896 divisors, whose sum is σ = 435913353216000. Its totient is φ = 25086340730880.

The previous prime is 108367064879033. The next prime is 108367064879069. The reversal of 108367064879040 is 40978460763801.

108367064879040 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 67 + 0 + 6 + 487 + 90 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1309324699 + ... + 1309407461.

Almost surely, 2^{108367064879040} is an apocalyptic number.

108367064879040 is a gapful number since it is divisible by the number (10) 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 108367064879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217956676608000).

108367064879040 is an abundant number, since it is smaller than the sum of its proper divisors (327546288336960).

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

108367064879040 is a wasteful number, since it uses less digits than its factorization.

108367064879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83422 (or 83406 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 108367064879040 in words is "one hundred eight trillion, three hundred sixty-seven billion, sixty-four million, eight hundred seventy-nine thousand, forty".