36921350793600 has 2304 divisors, whose sum is σ = 168790101742080. Its totient is φ = 7760452976640.

The previous prime is 36921350793553. The next prime is 36921350793637. The reversal of 36921350793600 is 639705312963.

36921350793600 is a `hidden beast` number, since 3 + 6 + 9 + 21 + 3 + 5 + 0 + 7 + 9 + 3 + 600 = 666.

36921350793600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36921350793600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22148379967 + ... + 22148381633.

It is an arithmetic number, because the mean of its divisors is an integer number (73259592770).

Almost surely, 2^{36921350793600} is an apocalyptic number.

36921350793600 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 36921350793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84395050871040).

36921350793600 is an abundant number, since it is smaller than the sum of its proper divisors (131868750948480).

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

36921350793600 is a wasteful number, since it uses less digits than its factorization.

36921350793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 36921350793600 in words is "thirty-six trillion, nine hundred twenty-one billion, three hundred fifty million, seven hundred ninety-three thousand, six hundred".