9612688896 has 240 divisors, whose sum is σ = 29547399024. Its totient is φ = 2998075392.

The previous prime is 9612688873. The next prime is 9612688903. The reversal of 9612688896 is 6988862169.

9612688896 is a `hidden beast` number, since 9 + 612 + 6 + 8 + 8 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×9612688896² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21698851 + ... + 21699293.

Almost surely, 2^9612688896 is an apocalyptic number.

9612688896 is a gapful number since it is divisible by the number (96) 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 9612688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773699512).

9612688896 is an abundant number, since it is smaller than the sum of its proper divisors (19934710128).

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

9612688896 is a wasteful number, since it uses less digits than its factorization.

9612688896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 742 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The square root of 9612688896 is about 98044.3210798055. The cubic root of 9612688896 is about 2126.2531125021.

The spelling of 9612688896 in words is "nine billion, six hundred twelve million, six hundred eighty-eight thousand, eight hundred ninety-six".