36558492672 has 352 divisors, whose sum is σ = 109450633600. Its totient is φ = 10776084480.

The previous prime is 36558492623. The next prime is 36558492679. The reversal of 36558492672 is 27629485563.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36558492679) 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, 104751954 + ... + 104752302.

It is an arithmetic number, because the mean of its divisors is an integer number (310939300).

Almost surely, 2^36558492672 is an apocalyptic number.

36558492672 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 36558492672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54725316800).

36558492672 is an abundant number, since it is smaller than the sum of its proper divisors (72892140928).

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

36558492672 is a wasteful number, since it uses less digits than its factorization.

36558492672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 471 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The spelling of 36558492672 in words is "thirty-six billion, five hundred fifty-eight million, four hundred ninety-two thousand, six hundred seventy-two".