36409867776 has 240 divisors, whose sum is σ = 112804458624. Its totient is φ = 11264458752.

The previous prime is 36409867763. The next prime is 36409867787. The reversal of 36409867776 is 67776890463.

It is a super-3 number, since 3×36409867776³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5715345 + ... + 5721711.

Almost surely, 2^36409867776 is an apocalyptic number.

36409867776 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 36409867776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56402229312).

36409867776 is an abundant number, since it is smaller than the sum of its proper divisors (76394590848).

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

36409867776 is a wasteful number, since it uses less digits than its factorization.

36409867776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 36409867776 in words is "thirty-six billion, four hundred nine million, eight hundred sixty-seven thousand, seven hundred seventy-six".