36585948672 has 640 divisors, whose sum is σ = 134924697600. Its totient is φ = 9531260928.

The previous prime is 36585948671. The next prime is 36585948691. The reversal of 36585948672 is 27684958563.

It is a happy number.

36585948672 is a `hidden beast` number, since 3 + 6 + 5 + 85 + 9 + 486 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36585948671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159763854 + ... + 159764082.

It is an arithmetic number, because the mean of its divisors is an integer number (210819840).

Almost surely, 2^36585948672 is an apocalyptic number.

36585948672 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 36585948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67462348800).

36585948672 is an abundant number, since it is smaller than the sum of its proper divisors (98338748928).

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

36585948672 is a wasteful number, since it uses less digits than its factorization.

36585948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 381 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 36585948672 in words is "thirty-six billion, five hundred eighty-five million, nine hundred forty-eight thousand, six hundred seventy-two".