36640512000 has 1152 divisors, whose sum is σ = 148819507200. Its totient is φ = 8957952000.

The previous prime is 36640511987. The next prime is 36640512001. The reversal of 36640512000 is 21504663.

36640512000 is a `hidden beast` number, since 3 + 6 + 640 + 5 + 12 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36640512001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1181951985 + ... + 1181952015.

It is an arithmetic number, because the mean of its divisors is an integer number (129183600).

Almost surely, 2^36640512000 is an apocalyptic number.

36640512000 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 36640512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74409753600).

36640512000 is an abundant number, since it is smaller than the sum of its proper divisors (112178995200).

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

36640512000 is an equidigital number, since it uses as much as digits as its factorization.

36640512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 36640512000 in words is "thirty-six billion, six hundred forty million, five hundred twelve thousand".