968346452640 has 768 divisors, whose sum is σ = 3714404843520. Its totient is φ = 207293644800.

The previous prime is 968346452621. The next prime is 968346452651. The reversal of 968346452640 is 46254643869.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 757111521 + ... + 757112799.

It is an arithmetic number, because the mean of its divisors is an integer number (4836464640).

Almost surely, 2^968346452640 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 968346452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857202421760).

968346452640 is an abundant number, since it is smaller than the sum of its proper divisors (2746058390880).

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

968346452640 is a wasteful number, since it uses less digits than its factorization.

968346452640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 57.

The spelling of 968346452640 in words is "nine hundred sixty-eight billion, three hundred forty-six million, four hundred fifty-two thousand, six hundred forty".