36682687080 has 576 divisors, whose sum is σ = 135680650560. Its totient is φ = 8908683264.

The previous prime is 36682687073. The next prime is 36682687123. The reversal of 36682687080 is 8078628663.

It is a happy number.

36682687080 is a `hidden beast` number, since 366 + 82 + 68 + 70 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 225047079 + ... + 225047241.

It is an arithmetic number, because the mean of its divisors is an integer number (235556685).

Almost surely, 2^36682687080 is an apocalyptic number.

36682687080 is a gapful number since it is divisible by the number (30) 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 36682687080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67840325280).

36682687080 is an abundant number, since it is smaller than the sum of its proper divisors (98997963480).

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

36682687080 is a wasteful number, since it uses less digits than its factorization.

36682687080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 36682687080 in words is "thirty-six billion, six hundred eighty-two million, six hundred eighty-seven thousand, eighty".