936820039680 has 1344 divisors, whose sum is σ = 3925628928000. Its totient is φ = 206355824640.

The previous prime is 936820039621. The next prime is 936820039747. The reversal of 936820039680 is 86930028639.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3919749001 + ... + 3919749239.

Almost surely, 2^936820039680 is an apocalyptic number.

936820039680 is a gapful number since it is divisible by the number (90) 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 936820039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962814464000).

936820039680 is an abundant number, since it is smaller than the sum of its proper divisors (2988808888320).

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

936820039680 is a wasteful number, since it uses less digits than its factorization.

936820039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 936820039680 in words is "nine hundred thirty-six billion, eight hundred twenty million, thirty-nine thousand, six hundred eighty".