36729745560 has 192 divisors, whose sum is σ = 121305600000. Its totient is φ = 9636506880.

The previous prime is 36729745541. The next prime is 36729745561. The reversal of 36729745560 is 6554792763.

36729745560 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 9 + 74 + 5 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36729745497 and 36729745506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36729745561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15309241 + ... + 15311639.

It is an arithmetic number, because the mean of its divisors is an integer number (631800000).

Almost surely, 2^36729745560 is an apocalyptic number.

36729745560 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 36729745560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60652800000).

36729745560 is an abundant number, since it is smaller than the sum of its proper divisors (84575854440).

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

36729745560 is a wasteful number, since it uses less digits than its factorization.

36729745560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 36729745560 in words is "thirty-six billion, seven hundred twenty-nine million, seven hundred forty-five thousand, five hundred sixty".