9968268240 has 960 divisors, whose sum is σ = 43677204480. Its totient is φ = 2060328960.

The previous prime is 9968268239. The next prime is 9968268251. The reversal of 9968268240 is 428628699.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71714091 + ... + 71714229.

It is an arithmetic number, because the mean of its divisors is an integer number (45497088).

Almost surely, 2^9968268240 is an apocalyptic number.

9968268240 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 9968268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21838602240).

9968268240 is an abundant number, since it is smaller than the sum of its proper divisors (33708936240).

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

9968268240 is a wasteful number, since it uses less digits than its factorization.

9968268240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9968268240 is about 99841.2151368362. The cubic root of 9968268240 is about 2152.1534752784.

The spelling of 9968268240 in words is "nine billion, nine hundred sixty-eight million, two hundred sixty-eight thousand, two hundred forty".