36242817072 has 480 divisors, whose sum is σ = 132455450880. Its totient is φ = 8391720960.

The previous prime is 36242817071. The next prime is 36242817113. The reversal of 36242817072 is 27071824263.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (36242817071) 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, 8354488 + ... + 8358824.

It is an arithmetic number, because the mean of its divisors is an integer number (275948856).

Almost surely, 2^36242817072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36242817072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66227725440).

36242817072 is an abundant number, since it is smaller than the sum of its proper divisors (96212633808).

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

36242817072 is a wasteful number, since it uses less digits than its factorization.

36242817072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 36242817072 in words is "thirty-six billion, two hundred forty-two million, eight hundred seventeen thousand, seventy-two".