36208049760 has 576 divisors, whose sum is σ = 140426395200. Its totient is φ = 8769503232.

The previous prime is 36208049753. The next prime is 36208049783. The reversal of 36208049760 is 6794080263.

36208049760 is a `hidden beast` number, since 3 + 6 + 20 + 80 + 497 + 60 = 666.

36208049760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36208049760² (a number of 22 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 95 ways as a sum of consecutive naturals, for example, 19166896 + ... + 19168784.

It is an arithmetic number, because the mean of its divisors is an integer number (243795825).

Almost surely, 2^36208049760 is an apocalyptic number.

36208049760 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 36208049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70213197600).

36208049760 is an abundant number, since it is smaller than the sum of its proper divisors (104218345440).

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

36208049760 is a wasteful number, since it uses less digits than its factorization.

36208049760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 36208049760 in words is "thirty-six billion, two hundred eight million, forty-nine thousand, seven hundred sixty".