36527362560 has 960 divisors, whose sum is σ = 145573718400. Its totient is φ = 8672182272.

The previous prime is 36527362523. The next prime is 36527362609. The reversal of 36527362560 is 6526372563.

36527362560 is a `hidden beast` number, since 3 + 6 + 5 + 27 + 3 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 619107811 + ... + 619107869.

It is an arithmetic number, because the mean of its divisors is an integer number (151639290).

Almost surely, 2^36527362560 is an apocalyptic number.

36527362560 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 36527362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72786859200).

36527362560 is an abundant number, since it is smaller than the sum of its proper divisors (109046355840).

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

36527362560 is a wasteful number, since it uses less digits than its factorization.

36527362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 36527362560 in words is "thirty-six billion, five hundred twenty-seven million, three hundred sixty-two thousand, five hundred sixty".