36824578560 has 1920 divisors, whose sum is σ = 178683563520. Its totient is φ = 7007109120.

The previous prime is 36824578529. The next prime is 36824578579. The reversal of 36824578560 is 6587542863.

36824578560 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 4 + 5 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×36824578560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36824578497 and 36824578506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 995258862 + ... + 995258898.

It is an arithmetic number, because the mean of its divisors is an integer number (93064356).

Almost surely, 2^36824578560 is an apocalyptic number.

36824578560 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 36824578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89341781760).

36824578560 is an abundant number, since it is smaller than the sum of its proper divisors (141858984960).

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

36824578560 is a wasteful number, since it uses less digits than its factorization.

36824578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 36824578560 in words is "thirty-six billion, eight hundred twenty-four million, five hundred seventy-eight thousand, five hundred sixty".