968765307015240 has 512 divisors, whose sum is σ = 3753307929600000. Its totient is φ = 217666108763136.

The previous prime is 968765307015221. The next prime is 968765307015269. The reversal of 968765307015240 is 42510703567869.

968765307015240 is a `hidden beast` number, since 9 + 6 + 8 + 7 + 6 + 5 + 30 + 70 + 1 + 524 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8933680941 + ... + 8933789379.

It is an arithmetic number, because the mean of its divisors is an integer number (7330679550000).

It is a 1-persistent number, because it is pandigital, but 2⋅968765307015240 = 1937530614030480 is not.

Almost surely, 2^{968765307015240} is an apocalyptic number.

968765307015240 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 968765307015240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876653964800000).

968765307015240 is an abundant number, since it is smaller than the sum of its proper divisors (2784542622584760).

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

968765307015240 is a wasteful number, since it uses less digits than its factorization.

968765307015240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128554 (or 128544 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 968765307015240 in words is "nine hundred sixty-eight trillion, seven hundred sixty-five billion, three hundred seven million, fifteen thousand, two hundred forty".