9678493646100 has 108 divisors (see below), whose sum is σ = 30355559563420. Its totient is φ = 2579327193600.

The previous prime is 9678493646083. The next prime is 9678493646131. The reversal of 9678493646100 is 16463948769.

9678493646100 is a `hidden beast` number, since 9 + 6 + 7 + 8 + 4 + 9 + 3 + 6 + 4 + 610 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1804610716164 + 7873882929936 = 1343358^2 + 2806044^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1893691 + ... + 4789890.

Almost surely, 2^{9678493646100} is an apocalyptic number.

9678493646100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9678493646100 is an abundant number, since it is smaller than the sum of its proper divisors (20677065917320).

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

9678493646100 is a wasteful number, since it uses less digits than its factorization.

9678493646100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685210 (or 6685200 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 9678493646100 in words is "nine trillion, six hundred seventy-eight billion, four hundred ninety-three million, six hundred forty-six thousand, one hundred".