36507779072 has 64 divisors (see below), whose sum is σ = 77310590940. Its totient is φ = 17179869184.

The previous prime is 36507779023. The next prime is 36507779093. The reversal of 36507779072 is 27097770563.

It can be written as a sum of positive squares in 2 ways, for example, as 26969522176 + 9538256896 = 164224^2 + 97664^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×36507779072² (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 16.

It is an unprimeable number.

In principle, a polygon with 36507779072 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 524288 + ... + 589824.

Almost surely, 2^36507779072 is an apocalyptic number.

36507779072 is a gapful number since it is divisible by the number (32) 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 36507779072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38655295470).

36507779072 is an abundant number, since it is smaller than the sum of its proper divisors (40802811868).

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

36507779072 is an frugal number, since it uses more digits than its factorization.

36507779072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65584 (or 65556 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 53.

The spelling of 36507779072 in words is "thirty-six billion, five hundred seven million, seven hundred seventy-nine thousand, seventy-two".