36816416000 has 576 divisors, whose sum is σ = 115709368320. Its totient is φ = 11361484800.

The previous prime is 36816415877. The next prime is 36816416051. The reversal of 36816416000 is 61461863.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136863866 + ... + 136864134.

It is an arithmetic number, because the mean of its divisors is an integer number (200884320).

Almost surely, 2^36816416000 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 36816416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57854684160).

36816416000 is an abundant number, since it is smaller than the sum of its proper divisors (78892952320).

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

36816416000 is a wasteful number, since it uses less digits than its factorization.

36816416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

Adding to 36816416000 its reverse (61461863), we get a palindrome (36877877863).

The spelling of 36816416000 in words is "thirty-six billion, eight hundred sixteen million, four hundred sixteen thousand".