36729334656 has 320 divisors, whose sum is σ = 125435201760. Its totient is φ = 10450944000.

The previous prime is 36729334601. The next prime is 36729334667. The reversal of 36729334656 is 65643392763.

It is a happy number.

36729334656 is a `hidden beast` number, since 3 + 6 + 7 + 293 + 346 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20392956 + ... + 20394756.

Almost surely, 2^36729334656 is an apocalyptic number.

36729334656 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 36729334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62717600880).

36729334656 is an abundant number, since it is smaller than the sum of its proper divisors (88705867104).

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

36729334656 is a wasteful number, since it uses less digits than its factorization.

36729334656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2094 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 54.

The spelling of 36729334656 in words is "thirty-six billion, seven hundred twenty-nine million, three hundred thirty-four thousand, six hundred fifty-six".