36663367156416 has 1008 divisors, whose sum is σ = 144217778953248. Its totient is φ = 8753710694400.

The previous prime is 36663367156357. The next prime is 36663367156417. The reversal of 36663367156416 is 61465176336663.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (36663367156417) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 972664866 + ... + 972702558.

It is an arithmetic number, because the mean of its divisors is an integer number (143073193406).

Almost surely, 2^{36663367156416} is an apocalyptic number.

36663367156416 is a gapful number since it is divisible by the number (36) 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 36663367156416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72108889476624).

36663367156416 is an abundant number, since it is smaller than the sum of its proper divisors (107554411796832).

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

36663367156416 is a wasteful number, since it uses less digits than its factorization.

36663367156416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37990 (or 37970 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 63.

The spelling of 36663367156416 in words is "thirty-six trillion, six hundred sixty-three billion, three hundred sixty-seven million, one hundred fifty-six thousand, four hundred sixteen".