1968731257600 has 432 divisors, whose sum is σ = 5193070122240. Its totient is φ = 737327923200.

The previous prime is 1968731257543. The next prime is 1968731257621. The reversal of 1968731257600 is 67521378691.

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, 3447865315 + ... + 3447865885.

Almost surely, 2^{1968731257600} is an apocalyptic number.

1968731257600 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 1968731257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596535061120).

1968731257600 is an abundant number, since it is smaller than the sum of its proper divisors (3224338864640).

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

1968731257600 is a wasteful number, since it uses less digits than its factorization.

1968731257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 1968731257600 in words is "one trillion, nine hundred sixty-eight billion, seven hundred thirty-one million, two hundred fifty-seven thousand, six hundred".