36864858838080 has 3584 divisors, whose sum is σ = 161500889088000. Its totient is φ = 7054638022656.

The previous prime is 36864858838079. The next prime is 36864858838081. The reversal of 36864858838080 is 8083885846863.

It is an interprime number because it is at equal distance from previous prime (36864858838079) and next prime (36864858838081).

It is a junction number, because it is equal to n+sod(n) for n = 36864858837993 and 36864858838011.

It is not an unprimeable number, because it can be changed into a prime (36864858838081) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 290274478977 + ... + 290274479103.

It is an arithmetic number, because the mean of its divisors is an integer number (45061632000).

Almost surely, 2^{36864858838080} is an apocalyptic number.

36864858838080 is a gapful number since it is divisible by the number (30) 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 36864858838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80750444544000).

36864858838080 is an abundant number, since it is smaller than the sum of its proper divisors (124636030249920).

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

36864858838080 is a wasteful number, since it uses less digits than its factorization.

36864858838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1698693120, while the sum is 75.

The spelling of 36864858838080 in words is "thirty-six trillion, eight hundred sixty-four billion, eight hundred fifty-eight million, eight hundred thirty-eight thousand, eighty".