36678660516 has 96 divisors (see below), whose sum is σ = 97621171200. Its totient is φ = 11902429440.

The previous prime is 36678660503. The next prime is 36678660517. The reversal of 36678660516 is 61506687663.

36678660516 is a `hidden beast` number, since 3 + 6 + 67 + 8 + 6 + 60 + 516 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36678660517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2112366 + ... + 2129658.

It is an arithmetic number, because the mean of its divisors is an integer number (1016887200).

Almost surely, 2^36678660516 is an apocalyptic number.

36678660516 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 36678660516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48810585600).

36678660516 is an abundant number, since it is smaller than the sum of its proper divisors (60942510684).

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

36678660516 is a wasteful number, since it uses less digits than its factorization.

36678660516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17826 (or 17818 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 36678660516 in words is "thirty-six billion, six hundred seventy-eight million, six hundred sixty thousand, five hundred sixteen".