36524871768 has 384 divisors, whose sum is σ = 122100019200. Its totient is φ = 8820576000.

The previous prime is 36524871767. The next prime is 36524871791. The reversal of 36524871768 is 86717842563.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36524871767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241886493 + ... + 241886643.

It is an arithmetic number, because the mean of its divisors is an integer number (317968800).

Almost surely, 2^36524871768 is an apocalyptic number.

36524871768 is a gapful number since it is divisible by the number (38) 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 36524871768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61050009600).

36524871768 is an abundant number, since it is smaller than the sum of its proper divisors (85575147432).

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

36524871768 is a wasteful number, since it uses less digits than its factorization.

36524871768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 276 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 36524871768 in words is "thirty-six billion, five hundred twenty-four million, eight hundred seventy-one thousand, seven hundred sixty-eight".