36349517475072 has 432 divisors, whose sum is σ = 116574637670400. Its totient is φ = 10840709468160.

The previous prime is 36349517474999. The next prime is 36349517475079. The reversal of 36349517475072 is 27057471594363.

36349517475072 is a `hidden beast` number, since 3 + 6 + 3 + 4 + 9 + 51 + 74 + 7 + 507 + 2 = 666.

It is a super-2 number, since 2×36349517475072² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36349517475079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79312497 + ... + 79769487.

Almost surely, 2^{36349517475072} is an apocalyptic number.

36349517475072 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 36349517475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58287318835200).

36349517475072 is an abundant number, since it is smaller than the sum of its proper divisors (80225120195328).

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

36349517475072 is a wasteful number, since it uses less digits than its factorization.

36349517475072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457134 (or 457117 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 36349517475072 in words is "thirty-six trillion, three hundred forty-nine billion, five hundred seventeen million, four hundred seventy-five thousand, seventy-two".