36187546560 has 448 divisors, whose sum is σ = 127942848000. Its totient is φ = 8592998400.

The previous prime is 36187546559. The next prime is 36187546561. The reversal of 36187546560 is 6564578163.

It is an interprime number because it is at equal distance from previous prime (36187546559) and next prime (36187546561).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36187546561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171504855 + ... + 171505065.

Almost surely, 2^36187546560 is an apocalyptic number.

36187546560 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 36187546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63971424000).

36187546560 is an abundant number, since it is smaller than the sum of its proper divisors (91755301440).

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

36187546560 is a wasteful number, since it uses less digits than its factorization.

36187546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 36187546560 in words is "thirty-six billion, one hundred eighty-seven million, five hundred forty-six thousand, five hundred sixty".