36973139567616 has 528 divisors, whose sum is σ = 129350476303360. Its totient is φ = 9946671022080.

The previous prime is 36973139567599. The next prime is 36973139567713. The reversal of 36973139567616 is 61676593137963.

36973139567616 is a `hidden beast` number, since 3 + 6 + 97 + 31 + 395 + 67 + 61 + 6 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 73745430 + ... + 74245098.

Almost surely, 2^{36973139567616} is an apocalyptic number.

36973139567616 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 36973139567616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64675238151680).

36973139567616 is an abundant number, since it is smaller than the sum of its proper divisors (92377336735744).

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

36973139567616 is a wasteful number, since it uses less digits than its factorization.

36973139567616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499770 (or 499749 counting only the distinct ones).

The product of its digits is 694416240, while the sum is 72.

The spelling of 36973139567616 in words is "thirty-six trillion, nine hundred seventy-three billion, one hundred thirty-nine million, five hundred sixty-seven thousand, six hundred sixteen".