96676828784640 has 3072 divisors, whose sum is σ = 400703127552000. Its totient is φ = 21911867228160.

The previous prime is 96676828784489. The next prime is 96676828784677. The reversal of 96676828784640 is 4648782867669.

96676828784640 is a `hidden beast` number, since 9 + 6 + 6 + 7 + 6 + 82 + 8 + 78 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 96676828784640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 615775979442 + ... + 615775979598.

It is an arithmetic number, because the mean of its divisors is an integer number (130437216000).

Almost surely, 2^{96676828784640} is an apocalyptic number.

96676828784640 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 96676828784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200351563776000).

96676828784640 is an abundant number, since it is smaller than the sum of its proper divisors (304026298767360).

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

96676828784640 is a wasteful number, since it uses less digits than its factorization.

96676828784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 9364045824, while the sum is 81.

The spelling of 96676828784640 in words is "ninety-six trillion, six hundred seventy-six billion, eight hundred twenty-eight million, seven hundred eighty-four thousand, six hundred forty".