9686404677600 has 1152 divisors, whose sum is σ = 41482844928000. Its totient is φ = 2134330490880.

The previous prime is 9686404677539. The next prime is 9686404677613. The reversal of 9686404677600 is 67764046869.

9686404677600 is a `hidden beast` number, since 9 + 68 + 6 + 40 + 467 + 76 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3678845884 + ... + 3678848516.

It is an arithmetic number, because the mean of its divisors is an integer number (36009414000).

Almost surely, 2^{9686404677600} is an apocalyptic number.

9686404677600 is a gapful number since it is divisible by the number (90) 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 9686404677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20741422464000).

9686404677600 is an abundant number, since it is smaller than the sum of its proper divisors (31796440250400).

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

9686404677600 is a wasteful number, since it uses less digits than its factorization.

9686404677600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 9686404677600 in words is "nine trillion, six hundred eighty-six billion, four hundred four million, six hundred seventy-seven thousand, six hundred".