978229193760 has 2304 divisors, whose sum is σ = 4560278123520. Its totient is φ = 190625218560.

The previous prime is 978229193749. The next prime is 978229193797. The reversal of 978229193760 is 67391922879.

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 383 ways as a sum of consecutive naturals, for example, 8656895464 + ... + 8656895576.

It is an arithmetic number, because the mean of its divisors is an integer number (1979287380).

Almost surely, 2^978229193760 is an apocalyptic number.

978229193760 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 978229193760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280139061760).

978229193760 is an abundant number, since it is smaller than the sum of its proper divisors (3582048929760).

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

978229193760 is a wasteful number, since it uses less digits than its factorization.

978229193760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 978229193760 in words is "nine hundred seventy-eight billion, two hundred twenty-nine million, one hundred ninety-three thousand, seven hundred sixty".