996102570672 has 240 divisors, whose sum is σ = 3209057404800. Its totient is φ = 285259760640.

The previous prime is 996102570643. The next prime is 996102570707. The reversal of 996102570672 is 276075201699.

996102570672 is a `hidden beast` number, since 9 + 9 + 6 + 1 + 0 + 2 + 570 + 67 + 2 = 666.

996102570672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12268803 + ... + 12349725.

It is an arithmetic number, because the mean of its divisors is an integer number (13371072520).

Almost surely, 2^996102570672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996102570672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604528702400).

996102570672 is an abundant number, since it is smaller than the sum of its proper divisors (2212954834128).

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

996102570672 is a wasteful number, since it uses less digits than its factorization.

996102570672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81376 (or 81367 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 996102570672 in words is "nine hundred ninety-six billion, one hundred two million, five hundred seventy thousand, six hundred seventy-two".