36975649105152 has 576 divisors, whose sum is σ = 123126017414400. Its totient is φ = 10876307374080.

The previous prime is 36975649105151. The next prime is 36975649105189. The reversal of 36975649105152 is 25150194657963.

36975649105152 is a `hidden beast` number, since 3 + 6 + 9 + 7 + 564 + 9 + 10 + 5 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 36975649105152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36975649105151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216474502 + ... + 216645242.

It is an arithmetic number, because the mean of its divisors is an integer number (213760446900).

Almost surely, 2^{36975649105152} is an apocalyptic number.

36975649105152 is a gapful number since it is divisible by the number (32) 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 36975649105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61563008707200).

36975649105152 is an abundant number, since it is smaller than the sum of its proper divisors (86150368309248).

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

36975649105152 is a wasteful number, since it uses less digits than its factorization.

36975649105152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170899 (or 170879 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 36975649105152 in words is "thirty-six trillion, nine hundred seventy-five billion, six hundred forty-nine million, one hundred five thousand, one hundred fifty-two".