96434657280 has 288 divisors, whose sum is σ = 359939296080. Its totient is φ = 23737466880.

The previous prime is 96434657237. The next prime is 96434657299. The reversal of 96434657280 is 8275643469.

96434657280 is a `hidden beast` number, since 9 + 6 + 434 + 65 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×96434657280² (a number of 23 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 23 ways as a sum of consecutive naturals, for example, 1157835 + ... + 1238325.

Almost surely, 2^96434657280 is an apocalyptic number.

96434657280 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 96434657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179969648040).

96434657280 is an abundant number, since it is smaller than the sum of its proper divisors (263504638800).

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

96434657280 is a wasteful number, since it uses less digits than its factorization.

96434657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80537 (or 80514 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 96434657280 in words is "ninety-six billion, four hundred thirty-four million, six hundred fifty-seven thousand, two hundred eighty".