36308097745920 has 2640 divisors, whose sum is σ = 176035597377024. Its totient is φ = 6963314688000.

The previous prime is 36308097745889. The next prime is 36308097745949. The reversal of 36308097745920 is 2954779080363.

36308097745920 is a `hidden beast` number, since 3 + 6 + 30 + 8 + 0 + 9 + 7 + 7 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4566477945 + ... + 4566485895.

Almost surely, 2^{36308097745920} is an apocalyptic number.

36308097745920 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 36308097745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88017798688512).

36308097745920 is an abundant number, since it is smaller than the sum of its proper divisors (139727499631104).

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

36308097745920 is a wasteful number, since it uses less digits than its factorization.

36308097745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 36308097745920 in words is "thirty-six trillion, three hundred eight billion, ninety-seven million, seven hundred forty-five thousand, nine hundred twenty".