1968593284840 has 192 divisors, whose sum is σ = 5551008019200. Its totient is φ = 622783590912.

The previous prime is 1968593284807. The next prime is 1968593284871. The reversal of 1968593284840 is 484823958691.

It is a super-2 number, since 2×1968593284840² (a number of 25 digits) contains 22 as substring.

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, 71814417 + ... + 71841823.

It is an arithmetic number, because the mean of its divisors is an integer number (28911500100).

Almost surely, 2^{1968593284840} is an apocalyptic number.

1968593284840 is a gapful number since it is divisible by the number (10) 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 1968593284840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775504009600).

1968593284840 is an abundant number, since it is smaller than the sum of its proper divisors (3582414734360).

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

1968593284840 is a wasteful number, since it uses less digits than its factorization.

1968593284840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30264 (or 30253 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 67.

The spelling of 1968593284840 in words is "one trillion, nine hundred sixty-eight billion, five hundred ninety-three million, two hundred eighty-four thousand, eight hundred forty".