36445593600 has 840 divisors, whose sum is σ = 146257266540. Its totient is φ = 8971223040.

The previous prime is 36445593589. The next prime is 36445593617. The reversal of 36445593600 is 639554463.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

36445593600 is a `hidden beast` number, since 3 + 64 + 4 + 559 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3941830656 + 32503762944 = 62784^2 + 180288^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2803507194 + ... + 2803507206.

Almost surely, 2^36445593600 is an apocalyptic number.

36445593600 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 36445593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73128633270).

36445593600 is an abundant number, since it is smaller than the sum of its proper divisors (109811672940).

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

36445593600 is an frugal number, since it uses more digits than its factorization.

36445593600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 36445593600 in words is "thirty-six billion, four hundred forty-five million, five hundred ninety-three thousand, six hundred".