978220834320 has 240 divisors, whose sum is σ = 3129218913600. Its totient is φ = 252737464320.

The previous prime is 978220834313. The next prime is 978220834333. The reversal of 978220834320 is 23438022879.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 978220834320.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59825506 + ... + 59841854.

It is an arithmetic number, because the mean of its divisors is an integer number (13038412140).

Almost surely, 2^978220834320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978220834320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564609456800).

978220834320 is an abundant number, since it is smaller than the sum of its proper divisors (2150998079280).

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

978220834320 is a wasteful number, since it uses less digits than its factorization.

978220834320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16554 (or 16487 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 978220834320 in words is "nine hundred seventy-eight billion, two hundred twenty million, eight hundred thirty-four thousand, three hundred twenty".