36516006576 has 540 divisors, whose sum is σ = 127983385920. Its totient is φ = 10052501760.

The previous prime is 36516006559. The next prime is 36516006619. The reversal of 36516006576 is 67560061563.

36516006576 is a `hidden beast` number, since 3 + 6 + 516 + 0 + 0 + 65 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 159458430 + ... + 159458658.

Almost surely, 2^36516006576 is an apocalyptic number.

36516006576 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 36516006576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63991692960).

36516006576 is an abundant number, since it is smaller than the sum of its proper divisors (91467379344).

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

36516006576 is an equidigital number, since it uses as much as digits as its factorization.

36516006576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 36516006576 in words is "thirty-six billion, five hundred sixteen million, six thousand, five hundred seventy-six".