36005079623040 has 2560 divisors, whose sum is σ = 152543328537600. Its totient is φ = 8001242726400.

The previous prime is 36005079622991. The next prime is 36005079623119. The reversal of 36005079623040 is 4032697050063.

36005079623040 is a `hidden beast` number, since 3 + 600 + 5 + 0 + 7 + 9 + 6 + 2 + 30 + 4 + 0 = 666.

It is a super-2 number, since 2×36005079623040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 68843364219 + ... + 68843364741.

It is an arithmetic number, because the mean of its divisors is an integer number (59587237710).

Almost surely, 2^{36005079623040} is an apocalyptic number.

36005079623040 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 36005079623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76271664268800).

36005079623040 is an abundant number, since it is smaller than the sum of its proper divisors (116538248914560).

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

36005079623040 is a wasteful number, since it uses less digits than its factorization.

36005079623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 36005079623040 in words is "thirty-six trillion, five billion, seventy-nine million, six hundred twenty-three thousand, forty".