96946767877842 has 192 divisors, whose sum is σ = 222174525321216. Its totient is φ = 30491446993920.

The previous prime is 96946767877777. The next prime is 96946767877867. The reversal of 96946767877842 is 24877876764969.

96946767877842 is a `hidden beast` number, since 9 + 6 + 9 + 467 + 6 + 78 + 7 + 78 + 4 + 2 = 666.

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, 31879895842 + ... + 31879898882.

It is an arithmetic number, because the mean of its divisors is an integer number (1157158986048).

Almost surely, 2^{96946767877842} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96946767877842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111087262660608).

96946767877842 is an abundant number, since it is smaller than the sum of its proper divisors (125227757443374).

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

96946767877842 is a wasteful number, since it uses less digits than its factorization.

96946767877842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005 (or 6002 counting only the distinct ones).

The product of its digits is 86032171008, while the sum is 90.

The spelling of 96946767877842 in words is "ninety-six trillion, nine hundred forty-six billion, seven hundred sixty-seven million, eight hundred seventy-seven thousand, eight hundred forty-two".