36027173952 has 672 divisors, whose sum is σ = 137432125440. Its totient is φ = 9147479040.

The previous prime is 36027173951. The next prime is 36027173977. The reversal of 36027173952 is 25937172063.

36027173952 is a `hidden beast` number, since 3 + 602 + 7 + 1 + 7 + 39 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 36027173898 and 36027173907.

It is not an unprimeable number, because it can be changed into a prime (36027173951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43775013 + ... + 43775835.

Almost surely, 2^36027173952 is an apocalyptic number.

36027173952 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 36027173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68716062720).

36027173952 is an abundant number, since it is smaller than the sum of its proper divisors (101404951488).

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

36027173952 is a wasteful number, since it uses less digits than its factorization.

36027173952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 36027173952 in words is "thirty-six billion, twenty-seven million, one hundred seventy-three thousand, nine hundred fifty-two".