36359781319680 has 1408 divisors, whose sum is σ = 148484542660608. Its totient is φ = 7389569875968.

The previous prime is 36359781319679. The next prime is 36359781319681. The reversal of 36359781319680 is 8691318795363.

It is an interprime number because it is at equal distance from previous prime (36359781319679) and next prime (36359781319681).

It is a super-2 number, since 2×36359781319680² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36359781319681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4387564497 + ... + 4387572783.

It is an arithmetic number, because the mean of its divisors is an integer number (105457771776).

Almost surely, 2^{36359781319680} is an apocalyptic number.

36359781319680 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 36359781319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74242271330304).

36359781319680 is an abundant number, since it is smaller than the sum of its proper divisors (112124761340928).

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

36359781319680 is a wasteful number, since it uses less digits than its factorization.

36359781319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8451 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 69.

The spelling of 36359781319680 in words is "thirty-six trillion, three hundred fifty-nine billion, seven hundred eighty-one million, three hundred nineteen thousand, six hundred eighty".