36980896143360 has 384 divisors, whose sum is σ = 129205360327680. Its totient is φ = 8974771814400.

The previous prime is 36980896143329. The next prime is 36980896143361. The reversal of 36980896143360 is 6334169808963.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 36980896143291 and 36980896143300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36980896143361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27702445 + ... + 29006675.

It is an arithmetic number, because the mean of its divisors is an integer number (336472292520).

Almost surely, 2^{36980896143360} is an apocalyptic number.

36980896143360 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 36980896143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64602680163840).

36980896143360 is an abundant number, since it is smaller than the sum of its proper divisors (92224464184320).

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

36980896143360 is a wasteful number, since it uses less digits than its factorization.

36980896143360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304345 (or 1304325 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 66.

The spelling of 36980896143360 in words is "thirty-six trillion, nine hundred eighty billion, eight hundred ninety-six million, one hundred forty-three thousand, three hundred sixty".