968653002240 has 3200 divisors, whose sum is σ = 4745661972480. Its totient is φ = 182742220800.

The previous prime is 968653002199. The next prime is 968653002253. The reversal of 968653002240 is 42200356869.

968653002240 is a `hidden beast` number, since 9 + 68 + 65 + 300 + 224 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9404398029 + ... + 9404398131.

Almost surely, 2^968653002240 is an apocalyptic number.

968653002240 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 968653002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372830986240).

968653002240 is an abundant number, since it is smaller than the sum of its proper divisors (3777008970240).

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

968653002240 is a wasteful number, since it uses less digits than its factorization.

968653002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 968653002240 in words is "nine hundred sixty-eight billion, six hundred fifty-three million, two thousand, two hundred forty".