938668874880 has 512 divisors, whose sum is σ = 3293175916800. Its totient is φ = 225533952000.

The previous prime is 938668874879. The next prime is 938668874893. The reversal of 938668874880 is 88478866839.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2036157850 + ... + 2036158310.

Almost surely, 2^938668874880 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 938668874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646587958400).

938668874880 is an abundant number, since it is smaller than the sum of its proper divisors (2354507041920).

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

938668874880 is a wasteful number, since it uses less digits than its factorization.

938668874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 75.

The spelling of 938668874880 in words is "nine hundred thirty-eight billion, six hundred sixty-eight million, eight hundred seventy-four thousand, eight hundred eighty".