35686676906496 has 1440 divisors, whose sum is σ = 136648591073280. Its totient is φ = 8855200972800.

The previous prime is 35686676906479. The next prime is 35686676906597. The reversal of 35686676906496 is 69460967668653.

35686676906496 is a `hidden beast` number, since 3 + 5 + 6 + 8 + 6 + 67 + 69 + 0 + 6 + 496 = 666.

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, 6082607755 + ... + 6082613621.

It is an arithmetic number, because the mean of its divisors is an integer number (94894854912).

Almost surely, 2^{35686676906496} is an apocalyptic number.

35686676906496 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 35686676906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68324295536640).

35686676906496 is an abundant number, since it is smaller than the sum of its proper divisors (100961914166784).

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

35686676906496 is a wasteful number, since it uses less digits than its factorization.

35686676906496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 12697896960, while the sum is 81.

The spelling of 35686676906496 in words is "thirty-five trillion, six hundred eighty-six billion, six hundred seventy-six million, nine hundred six thousand, four hundred ninety-six".