36993663364320 has 768 divisors, whose sum is σ = 149662615092480. Its totient is φ = 8453057937408.

The previous prime is 36993663364261. The next prime is 36993663364369. The reversal of 36993663364320 is 2346336639963.

It is a super-2 number, since 2×36993663364320² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69429162 + ... + 69959958.

It is an arithmetic number, because the mean of its divisors is an integer number (194873196735).

Almost surely, 2^{36993663364320} is an apocalyptic number.

36993663364320 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 36993663364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74831307546240).

36993663364320 is an abundant number, since it is smaller than the sum of its proper divisors (112668951728160).

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

36993663364320 is a wasteful number, since it uses less digits than its factorization.

36993663364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530924 (or 530910 counting only the distinct ones).

The product of its (nonzero) digits is 204073344, while the sum is 63.

The spelling of 36993663364320 in words is "thirty-six trillion, nine hundred ninety-three billion, six hundred sixty-three million, three hundred sixty-four thousand, three hundred twenty".