36825546240 has 960 divisors, whose sum is σ = 155172568320. Its totient is φ = 8252375040.

The previous prime is 36825546223. The next prime is 36825546281. The reversal of 36825546240 is 4264552863.

36825546240 is a `hidden beast` number, since 3 + 6 + 82 + 5 + 546 + 24 + 0 = 666.

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

It is a super-2 number, since 2×36825546240² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 281110975 + ... + 281111105.

It is an arithmetic number, because the mean of its divisors is an integer number (161638092).

Almost surely, 2^36825546240 is an apocalyptic number.

36825546240 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 36825546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77586284160).

36825546240 is an abundant number, since it is smaller than the sum of its proper divisors (118347022080).

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

36825546240 is a wasteful number, since it uses less digits than its factorization.

36825546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 36825546240 in words is "thirty-six billion, eight hundred twenty-five million, five hundred forty-six thousand, two hundred forty".