36671311072 has 96 divisors (see below), whose sum is σ = 81822182400. Its totient is φ = 16025587200.

The previous prime is 36671311051. The next prime is 36671311093. The reversal of 36671311072 is 27011317663.

It is an interprime number because it is at equal distance from previous prime (36671311051) and next prime (36671311093).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2432197 + ... + 2447227.

It is an arithmetic number, because the mean of its divisors is an integer number (852314400).

Almost surely, 2^36671311072 is an apocalyptic number.

36671311072 is a gapful number since it is divisible by the number (32) 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 36671311072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40911091200).

36671311072 is an abundant number, since it is smaller than the sum of its proper divisors (45150871328).

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

36671311072 is a wasteful number, since it uses less digits than its factorization.

36671311072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15320 (or 15312 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

It can be divided in two parts, 36671 and 311072, that added together give a palindrome (347743).

The spelling of 36671311072 in words is "thirty-six billion, six hundred seventy-one million, three hundred eleven thousand, seventy-two".