9968192640 has 512 divisors, whose sum is σ = 42113433600. Its totient is φ = 2178772992.

The previous prime is 9968192639. The next prime is 9968192651. The reversal of 9968192640 is 462918699.

It is a super-3 number, since 3×9968192640³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2780289 + ... + 2783871.

It is an arithmetic number, because the mean of its divisors is an integer number (82252800).

Almost surely, 2^9968192640 is an apocalyptic number.

9968192640 is a gapful number since it is divisible by the number (90) 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 9968192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21056716800).

9968192640 is an abundant number, since it is smaller than the sum of its proper divisors (32145240960).

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

9968192640 is a wasteful number, since it uses less digits than its factorization.

9968192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 9968192640 is about 99840.8365349570. The cubic root of 9968192640 is about 2152.1480345736.

The spelling of 9968192640 in words is "nine billion, nine hundred sixty-eight million, one hundred ninety-two thousand, six hundred forty".