1968496064 has 28 divisors (see below), whose sum is σ = 4111828200. Its totient is φ = 932444928.

The previous prime is 1968496051. The next prime is 1968496091. The reversal of 1968496064 is 4606948691.

It is a happy number.

It is a super-3 number, since 3×1968496064³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1968495997 and 1968496015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 808199 + ... + 810630.

Almost surely, 2^1968496064 is an apocalyptic number.

It is an amenable number.

1968496064 is an abundant number, since it is smaller than the sum of its proper divisors (2143332136).

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

1968496064 is a wasteful number, since it uses less digits than its factorization.

1968496064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618860 (or 1618850 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 53.

The square root of 1968496064 is about 44367.7367464242. The cubic root of 1968496064 is about 1253.2705954210.

The spelling of 1968496064 in words is "one billion, nine hundred sixty-eight million, four hundred ninety-six thousand, sixty-four".