36286947648 has 420 divisors, whose sum is σ = 130589011872. Its totient is φ = 9915333120.

The previous prime is 36286947643. The next prime is 36286947659. The reversal of 36286947648 is 84674968263.

36286947648 is a `hidden beast` number, since 3 + 62 + 8 + 69 + 476 + 48 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36286947643) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5839263 + ... + 5845473.

Almost surely, 2^36286947648 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 36286947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65294505936).

36286947648 is an abundant number, since it is smaller than the sum of its proper divisors (94302064224).

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

36286947648 is a wasteful number, since it uses less digits than its factorization.

36286947648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6272 (or 6246 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 36286947648 in words is "thirty-six billion, two hundred eighty-six million, nine hundred forty-seven thousand, six hundred forty-eight".