9970677360 has 240 divisors, whose sum is σ = 38840894976. Its totient is φ = 2244920832.

The previous prime is 9970677359. The next prime is 9970677377. The reversal of 9970677360 is 637760799.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 9970677297 and 9970677306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322917 + ... + 352443.

Almost surely, 2^9970677360 is an apocalyptic number.

9970677360 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 9970677360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19420447488).

9970677360 is an abundant number, since it is smaller than the sum of its proper divisors (28870217616).

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

9970677360 is a wasteful number, since it uses less digits than its factorization.

9970677360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29620 (or 29611 counting only the distinct ones).

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

The square root of 9970677360 is about 99853.2791649829. The cubic root of 9970677360 is about 2152.3268380006.

The spelling of 9970677360 in words is "nine billion, nine hundred seventy million, six hundred seventy-seven thousand, three hundred sixty".