36789146469504 has 2048 divisors, whose sum is σ = 137033164800000. Its totient is φ = 9608179875840.

The previous prime is 36789146469499. The next prime is 36789146469541. The reversal of 36789146469504 is 40596464198763.

36789146469504 is a `hidden beast` number, since 3 + 6 + 78 + 9 + 1 + 4 + 6 + 46 + 9 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 153929483017 + ... + 153929483255.

It is an arithmetic number, because the mean of its divisors is an integer number (66910725000).

Almost surely, 2^{36789146469504} 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 36789146469504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68516582400000).

36789146469504 is an abundant number, since it is smaller than the sum of its proper divisors (100244018330496).

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

36789146469504 is a wasteful number, since it uses less digits than its factorization.

36789146469504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 36789146469504 in words is "thirty-six trillion, seven hundred eighty-nine billion, one hundred forty-six million, four hundred sixty-nine thousand, five hundred four".