36383633213760 has 560 divisors, whose sum is σ = 147979695790080. Its totient is φ = 8312451932160.

The previous prime is 36383633213689. The next prime is 36383633213801. The reversal of 36383633213760 is 6731233638363.

It is a happy number.

36383633213760 is a `hidden beast` number, since 3 + 6 + 3 + 8 + 363 + 3 + 213 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 36383633213697 and 36383633213706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 406199380 + ... + 406288940.

It is an arithmetic number, because the mean of its divisors is an integer number (264249456768).

Almost surely, 2^{36383633213760} is an apocalyptic number.

36383633213760 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 36383633213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73989847895040).

36383633213760 is an abundant number, since it is smaller than the sum of its proper divisors (111596062576320).

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

36383633213760 is a wasteful number, since it uses less digits than its factorization.

36383633213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91836 (or 91817 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 54.

The spelling of 36383633213760 in words is "thirty-six trillion, three hundred eighty-three billion, six hundred thirty-three million, two hundred thirteen thousand, seven hundred sixty".