9677903760 has 480 divisors, whose sum is σ = 39439440000. Its totient is φ = 2174376960.

The previous prime is 9677903749. The next prime is 9677903797. The reversal of 9677903760 is 673097769.

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

It is a junction number, because it is equal to n+sod(n) for n = 9677903697 and 9677903706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6455491 + ... + 6456989.

It is an arithmetic number, because the mean of its divisors is an integer number (82165500).

Almost surely, 2^9677903760 is an apocalyptic number.

9677903760 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 9677903760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19719720000).

9677903760 is an abundant number, since it is smaller than the sum of its proper divisors (29761536240).

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

9677903760 is a wasteful number, since it uses less digits than its factorization.

9677903760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The square root of 9677903760 is about 98376.3373987871. The cubic root of 9677903760 is about 2131.0506223421.

The spelling of 9677903760 in words is "nine billion, six hundred seventy-seven million, nine hundred three thousand, seven hundred sixty".