9764415161280 has 672 divisors, whose sum is σ = 36744015147840. Its totient is φ = 2365559930880.

The previous prime is 9764415161261. The next prime is 9764415161299. The reversal of 9764415161280 is 821615144679.

9764415161280 is a `hidden beast` number, since 9 + 7 + 6 + 4 + 4 + 15 + 1 + 612 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9764415161261) and next prime (9764415161299).

It is a super-2 number, since 2×9764415161280² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 835917040 + ... + 835928720.

It is an arithmetic number, because the mean of its divisors is an integer number (54678593970).

Almost surely, 2^{9764415161280} is an apocalyptic number.

9764415161280 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 9764415161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18372007573920).

9764415161280 is an abundant number, since it is smaller than the sum of its proper divisors (26979599986560).

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

9764415161280 is a wasteful number, since it uses less digits than its factorization.

9764415161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12069 (or 12056 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 9764415161280 in words is "nine trillion, seven hundred sixty-four billion, four hundred fifteen million, one hundred sixty-one thousand, two hundred eighty".