9677428992 has 1080 divisors, whose sum is σ = 39472910400. Its totient is φ = 2299207680.

The previous prime is 9677428951. The next prime is 9677429051. The reversal of 9677428992 is 2998247769.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 333704434 + ... + 333704462.

Almost surely, 2^9677428992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9677428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19736455200).

9677428992 is an abundant number, since it is smaller than the sum of its proper divisors (29795481408).

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

9677428992 is a wasteful number, since it uses less digits than its factorization.

9677428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 9677428992 is about 98373.9243499008. The cubic root of 9677428992 is about 2131.0157741900.

The spelling of 9677428992 in words is "nine billion, six hundred seventy-seven million, four hundred twenty-eight thousand, nine hundred ninety-two".