9686476800 has 1728 divisors, whose sum is σ = 48625012800. Its totient is φ = 1857945600.

The previous prime is 9686476759. The next prime is 9686476823. The reversal of 9686476800 is 86746869.

9686476800 is a `hidden beast` number, since 96 + 8 + 6 + 476 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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, 745113594 + ... + 745113606.

It is an arithmetic number, because the mean of its divisors is an integer number (28139475).

Almost surely, 2^9686476800 is an apocalyptic number.

9686476800 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 9686476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24312506400).

9686476800 is an abundant number, since it is smaller than the sum of its proper divisors (38938536000).

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

9686476800 is a wasteful number, since it uses less digits than its factorization.

9686476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 9686476800 is about 98419.9004266922. The cubic root of 9686476800 is about 2131.6796907407.

The spelling of 9686476800 in words is "nine billion, six hundred eighty-six million, four hundred seventy-six thousand, eight hundred".