36242055360 has 336 divisors, whose sum is σ = 147064000512. Its totient is φ = 8016537600.

The previous prime is 36242055347. The next prime is 36242055403. The reversal of 36242055360 is 6355024263.

36242055360 is a `hidden beast` number, since 3 + 6 + 2 + 42 + 0 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595965 + ... + 653955.

Almost surely, 2^36242055360 is an apocalyptic number.

36242055360 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 36242055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73532000256).

36242055360 is an abundant number, since it is smaller than the sum of its proper divisors (110821945152).

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

36242055360 is a wasteful number, since it uses less digits than its factorization.

36242055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58052 (or 58039 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 36242055360 in words is "thirty-six billion, two hundred forty-two million, fifty-five thousand, three hundred sixty".