1968504720 has 320 divisors, whose sum is σ = 7568515584. Its totient is φ = 412139520.

The previous prime is 1968504719. The next prime is 1968504731. The reversal of 1968504720 is 274058691.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3778060 + ... + 3778580.

Almost surely, 2^1968504720 is an apocalyptic number.

1968504720 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 1968504720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784257792).

1968504720 is an abundant number, since it is smaller than the sum of its proper divisors (5600010864).

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

1968504720 is a wasteful number, since it uses less digits than its factorization.

1968504720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1968504720 is about 44367.8342946779. The cubic root of 1968504720 is about 1253.2724324062.

The spelling of 1968504720 in words is "one billion, nine hundred sixty-eight million, five hundred four thousand, seven hundred twenty".