36901376411328 has 1512 divisors, whose sum is σ = 133024117904496. Its totient is φ = 10061571686400.

The previous prime is 36901376411323. The next prime is 36901376411377. The reversal of 36901376411328 is 82311467310963.

36901376411328 is a `hidden beast` number, since 3 + 6 + 90 + 137 + 6 + 411 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (36901376411323) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 32004662400 + ... + 32004663552.

It is an arithmetic number, because the mean of its divisors is an integer number (87978913958).

Almost surely, 2^{36901376411328} 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 36901376411328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66512058952248).

36901376411328 is an abundant number, since it is smaller than the sum of its proper divisors (96122741493168).

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

36901376411328 is a wasteful number, since it uses less digits than its factorization.

36901376411328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 36901376411328 in words is "thirty-six trillion, nine hundred one billion, three hundred seventy-six million, four hundred eleven thousand, three hundred twenty-eight".