36866029625600 has 432 divisors, whose sum is σ = 104724280217088. Its totient is φ = 12586625925120.

The previous prime is 36866029625573. The next prime is 36866029625617. The reversal of 36866029625600 is 652692066863.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 36866029625600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15405778004 + ... + 15405780396.

Almost surely, 2^{36866029625600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36866029625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52362140108544).

36866029625600 is an abundant number, since it is smaller than the sum of its proper divisors (67858250591488).

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

36866029625600 is a wasteful number, since it uses less digits than its factorization.

36866029625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 59.

The spelling of 36866029625600 in words is "thirty-six trillion, eight hundred sixty-six billion, twenty-nine million, six hundred twenty-five thousand, six hundred".