36874668295260 has 480 divisors, whose sum is σ = 128247361482240. Its totient is φ = 8827379523072.

The previous prime is 36874668295217. The next prime is 36874668295291. The reversal of 36874668295260 is 6259286647863.

36874668295260 is a `hidden beast` number, since 3 + 6 + 8 + 74 + 6 + 6 + 8 + 29 + 526 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 75506182 + ... + 75992978.

It is an arithmetic number, because the mean of its divisors is an integer number (267182003088).

Almost surely, 2^{36874668295260} is an apocalyptic number.

36874668295260 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 36874668295260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64123680741120).

36874668295260 is an abundant number, since it is smaller than the sum of its proper divisors (91372693186980).

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

36874668295260 is a wasteful number, since it uses less digits than its factorization.

36874668295260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486967 (or 486956 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 36874668295260 in words is "thirty-six trillion, eight hundred seventy-four billion, six hundred sixty-eight million, two hundred ninety-five thousand, two hundred sixty".