36781367616 has 168 divisors, whose sum is σ = 121288113024. Its totient is φ = 10439193600.

The previous prime is 36781367611. The next prime is 36781367633. The reversal of 36781367616 is 61676318763.

It is a happy number.

36781367616 is a `hidden beast` number, since 3 + 6 + 7 + 8 + 13 + 6 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36781367611) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 578626 + ... + 639038.

Almost surely, 2^36781367616 is an apocalyptic number.

36781367616 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 36781367616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60644056512).

36781367616 is an abundant number, since it is smaller than the sum of its proper divisors (84506745408).

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

36781367616 is a wasteful number, since it uses less digits than its factorization.

36781367616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60589 (or 60576 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 36781367616 in words is "thirty-six billion, seven hundred eighty-one million, three hundred sixty-seven thousand, six hundred sixteen".