36141880320 has 1408 divisors, whose sum is σ = 168371481600. Its totient is φ = 7176978432.

The previous prime is 36141880309. The next prime is 36141880321. The reversal of 36141880320 is 2308814163.

36141880320 is a `hidden beast` number, since 3 + 614 + 1 + 8 + 8 + 0 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36141880321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2125992952 + ... + 2125992968.

Almost surely, 2^36141880320 is an apocalyptic number.

36141880320 is a gapful number since it is divisible by the number (30) 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 36141880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84185740800).

36141880320 is an abundant number, since it is smaller than the sum of its proper divisors (132229601280).

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

36141880320 is a wasteful number, since it uses less digits than its factorization.

36141880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 36141880320 in words is "thirty-six billion, one hundred forty-one million, eight hundred eighty thousand, three hundred twenty".