36339245568 has 320 divisors, whose sum is σ = 116906803200. Its totient is φ = 11102883840.

The previous prime is 36339245561. The next prime is 36339245581. The reversal of 36339245568 is 86554293363.

36339245568 is a `hidden beast` number, since 3 + 6 + 3 + 39 + 2 + 45 + 568 = 666.

It is a super-3 number, since 3×36339245568³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (36339245561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8140105 + ... + 8144567.

It is an arithmetic number, because the mean of its divisors is an integer number (365333760).

Almost surely, 2^36339245568 is an apocalyptic number.

36339245568 is a gapful number since it is divisible by the number (38) 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 36339245568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58453401600).

36339245568 is an abundant number, since it is smaller than the sum of its proper divisors (80567557632).

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

36339245568 is a wasteful number, since it uses less digits than its factorization.

36339245568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4518 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 36339245568 in words is "thirty-six billion, three hundred thirty-nine million, two hundred forty-five thousand, five hundred sixty-eight".