36811842073776 has 1920 divisors, whose sum is σ = 149282445312000. Its totient is φ = 8478164090880.

The previous prime is 36811842073709. The next prime is 36811842073789. The reversal of 36811842073776 is 67737024811863.

36811842073776 is a `hidden beast` number, since 3 + 6 + 81 + 184 + 2 + 0 + 7 + 377 + 6 = 666.

It is a super-2 number, since 2×36811842073776² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19242990196 + ... + 19242992108.

It is an arithmetic number, because the mean of its divisors is an integer number (77751273600).

Almost surely, 2^{36811842073776} is an apocalyptic number.

36811842073776 is a gapful number since it is divisible by the number (36) 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 36811842073776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74641222656000).

36811842073776 is an abundant number, since it is smaller than the sum of its proper divisors (112470603238224).

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

36811842073776 is a wasteful number, since it uses less digits than its factorization.

36811842073776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 36811842073776 in words is "thirty-six trillion, eight hundred eleven billion, eight hundred forty-two million, seventy-three thousand, seven hundred seventy-six".