36245860560 has 720 divisors, whose sum is σ = 158193374976. Its totient is φ = 7644865536.

The previous prime is 36245860537. The next prime is 36245860619. The reversal of 36245860560 is 6506854263.

36245860560 is a `hidden beast` number, since 3 + 6 + 2 + 4 + 5 + 86 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12381817 + ... + 12384743.

Almost surely, 2^36245860560 is an apocalyptic number.

36245860560 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 36245860560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79096687488).

36245860560 is an abundant number, since it is smaller than the sum of its proper divisors (121947514416).

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

36245860560 is a wasteful number, since it uses less digits than its factorization.

36245860560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 36245860560 in words is "thirty-six billion, two hundred forty-five million, eight hundred sixty thousand, five hundred sixty".