36516011679840 has 2304 divisors, whose sum is σ = 156109345652736. Its totient is φ = 7082953113600.

The previous prime is 36516011679827. The next prime is 36516011679853. The reversal of 36516011679840 is 4897611061563.

It is an interprime number because it is at equal distance from previous prime (36516011679827) and next prime (36516011679853).

It is a super-3 number, since 3×36516011679840³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27517717257 + ... + 27517718583.

It is an arithmetic number, because the mean of its divisors is an integer number (67755792384).

Almost surely, 2^{36516011679840} is an apocalyptic number.

36516011679840 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 36516011679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78054672826368).

36516011679840 is an abundant number, since it is smaller than the sum of its proper divisors (119593333972896).

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

36516011679840 is a wasteful number, since it uses less digits than its factorization.

36516011679840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 36516011679840 in words is "thirty-six trillion, five hundred sixteen billion, eleven million, six hundred seventy-nine thousand, eight hundred forty".