36681331680 has 192 divisors, whose sum is σ = 146725447680. Its totient is φ = 8384297472.

The previous prime is 36681331639. The next prime is 36681331693. The reversal of 36681331680 is 8613318663.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576264 + ... + 636743.

It is an arithmetic number, because the mean of its divisors is an integer number (764195040).

Almost surely, 2^36681331680 is an apocalyptic number.

36681331680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36681331680 is an abundant number, since it is smaller than the sum of its proper divisors (110044116000).

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

36681331680 is a wasteful number, since it uses less digits than its factorization.

36681331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213038 (or 1213024 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 36681331680 in words is "thirty-six billion, six hundred eighty-one million, three hundred thirty-one thousand, six hundred eighty".