36432859081680 has 120 divisors (see below), whose sum is σ = 122358522560040. Its totient is φ = 9715044971520.

The previous prime is 36432859081679. The next prime is 36432859081691. The reversal of 36432859081680 is 8618095823463.

It is a happy number.

36432859081680 is a `hidden beast` number, since 3 + 6 + 4 + 3 + 28 + 590 + 8 + 16 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1148403716496 + 35284455365184 = 1071636^2 + 5940072^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17459626 + ... + 19434614.

It is an arithmetic number, because the mean of its divisors is an integer number (1019654354667).

Almost surely, 2^{36432859081680} is an apocalyptic number.

36432859081680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36432859081680 is an abundant number, since it is smaller than the sum of its proper divisors (85925663478360).

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

36432859081680 is a wasteful number, since it uses less digits than its factorization.

36432859081680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000629 (or 2000620 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 36432859081680 in words is "thirty-six trillion, four hundred thirty-two billion, eight hundred fifty-nine million, eighty-one thousand, six hundred eighty".