36780565536 has 864 divisors, whose sum is σ = 133905268224. Its totient is φ = 9853747200.

The previous prime is 36780565489. The next prime is 36780565553. The reversal of 36780565536 is 63556508763.

36780565536 is a `hidden beast` number, since 3 + 6 + 7 + 80 + 5 + 6 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×36780565536² (a number of 22 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 (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 379181040 + ... + 379181136.

Almost surely, 2^36780565536 is an apocalyptic number.

36780565536 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 36780565536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66952634112).

36780565536 is an abundant number, since it is smaller than the sum of its proper divisors (97124702688).

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

36780565536 is a wasteful number, since it uses less digits than its factorization.

36780565536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 36780565536 in words is "thirty-six billion, seven hundred eighty million, five hundred sixty-five thousand, five hundred thirty-six".