36068366880 has 1440 divisors, whose sum is σ = 169501003056. Its totient is φ = 7134511104.

The previous prime is 36068366879. The next prime is 36068366909. The reversal of 36068366880 is 8866386063.

It can be written as a sum of positive squares in 8 ways, for example, as 25445354256 + 10623012624 = 159516^2 + 103068^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 140343712 + ... + 140343968.

Almost surely, 2^36068366880 is an apocalyptic number.

36068366880 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 36068366880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84750501528).

36068366880 is an abundant number, since it is smaller than the sum of its proper divisors (133432636176).

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

36068366880 is a wasteful number, since it uses less digits than its factorization.

36068366880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 36068366880 in words is "thirty-six billion, sixty-eight million, three hundred sixty-six thousand, eight hundred eighty".