9677854368 has 432 divisors, whose sum is σ = 35010009216. Its totient is φ = 2513064960.

The previous prime is 9677854363. The next prime is 9677854369. The reversal of 9677854368 is 8634587769.

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

It is not an unprimeable number, because it can be changed into a prime (9677854363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13025005 + ... + 13025747.

It is an arithmetic number, because the mean of its divisors is an integer number (81041688).

Almost surely, 2^9677854368 is an apocalyptic number.

9677854368 is a gapful number since it is divisible by the number (98) 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 9677854368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17505004608).

9677854368 is an abundant number, since it is smaller than the sum of its proper divisors (25332154848).

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

9677854368 is a wasteful number, since it uses less digits than its factorization.

9677854368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 839 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The square root of 9677854368 is about 98376.0863624895. The cubic root of 9677854368 is about 2131.0469970036.

The spelling of 9677854368 in words is "nine billion, six hundred seventy-seven million, eight hundred fifty-four thousand, three hundred sixty-eight".