36082630656 has 480 divisors, whose sum is σ = 116073820800. Its totient is φ = 11179524096.

The previous prime is 36082630643. The next prime is 36082630657. The reversal of 36082630656 is 65603628063.

36082630656 is a `hidden beast` number, since 3 + 6 + 0 + 8 + 2 + 630 + 6 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36082630657) 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, 680804326 + ... + 680804378.

It is an arithmetic number, because the mean of its divisors is an integer number (241820460).

Almost surely, 2^36082630656 is an apocalyptic number.

36082630656 is a gapful number since it is divisible by the number (36) 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 36082630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58036910400).

36082630656 is an abundant number, since it is smaller than the sum of its proper divisors (79991190144).

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

36082630656 is an frugal number, since it uses more digits than its factorization.

36082630656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 36082630656 in words is "thirty-six billion, eighty-two million, six hundred thirty thousand, six hundred fifty-six".