36946667446272 has 336 divisors, whose sum is σ = 107395086708000. Its totient is φ = 12238848000000.

The previous prime is 36946667446259. The next prime is 36946667446331. The reversal of 36946667446272 is 27264476664963.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 36946667446272.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9234356272 + ... + 9234360272.

It is an arithmetic number, because the mean of its divisors is an integer number (319628234250).

Almost surely, 2^{36946667446272} is an apocalyptic number.

36946667446272 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 36946667446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53697543354000).

36946667446272 is an abundant number, since it is smaller than the sum of its proper divisors (70448419261728).

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

36946667446272 is a wasteful number, since it uses less digits than its factorization.

36946667446272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4756 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 72.

The spelling of 36946667446272 in words is "thirty-six trillion, nine hundred forty-six billion, six hundred sixty-seven million, four hundred forty-six thousand, two hundred seventy-two".