9769977360 has 480 divisors, whose sum is σ = 39803452416. Its totient is φ = 2115072000.

The previous prime is 9769977353. The next prime is 9769977377. The reversal of 9769977360 is 637799679.

It is a super-2 number, since 2×9769977360² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3190230 + ... + 3193290.

Almost surely, 2^9769977360 is an apocalyptic number.

9769977360 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 9769977360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19901726208).

9769977360 is an abundant number, since it is smaller than the sum of its proper divisors (30033475056).

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

9769977360 is a wasteful number, since it uses less digits than its factorization.

9769977360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 27005076, while the sum is 63.

The square root of 9769977360 is about 98843.1958204509. The cubic root of 9769977360 is about 2137.7874299020.

The spelling of 9769977360 in words is "nine billion, seven hundred sixty-nine million, nine hundred seventy-seven thousand, three hundred sixty".