968019978240 has 1152 divisors, whose sum is σ = 3961706112000. Its totient is φ = 218494402560.

The previous prime is 968019978239. The next prime is 968019978251. The reversal of 968019978240 is 42879910869.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 3572029305 + ... + 3572029575.

It is an arithmetic number, because the mean of its divisors is an integer number (3438981000).

Almost surely, 2^968019978240 is an apocalyptic number.

968019978240 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 968019978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980853056000).

968019978240 is an abundant number, since it is smaller than the sum of its proper divisors (2993686133760).

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

968019978240 is a wasteful number, since it uses less digits than its factorization.

968019978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 968019978240 in words is "nine hundred sixty-eight billion, nineteen million, nine hundred seventy-eight thousand, two hundred forty".