96830743680 has 960 divisors, whose sum is σ = 390017073600. Its totient is φ = 22864343040.

The previous prime is 96830743679. The next prime is 96830743693. The reversal of 96830743680 is 8634703869.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 269723341 + ... + 269723699.

It is an arithmetic number, because the mean of its divisors is an integer number (406267785).

Almost surely, 2^96830743680 is an apocalyptic number.

96830743680 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 96830743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195008536800).

96830743680 is an abundant number, since it is smaller than the sum of its proper divisors (293186329920).

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

96830743680 is a wasteful number, since it uses less digits than its factorization.

96830743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 96830743680 in words is "ninety-six billion, eight hundred thirty million, seven hundred forty-three thousand, six hundred eighty".