978694125696 has 576 divisors, whose sum is σ = 3481798203000. Its totient is φ = 263103676416.

The previous prime is 978694125691. The next prime is 978694125751. The reversal of 978694125696 is 696521496879.

978694125696 is a `hidden beast` number, since 9 + 78 + 6 + 9 + 412 + 56 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 685146885696 + 293547240000 = 827736^2 + 541800^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (978694125691) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277327260 + ... + 277330788.

Almost surely, 2^978694125696 is an apocalyptic number.

978694125696 is a gapful number since it is divisible by the number (96) 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 978694125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740899101500).

978694125696 is an abundant number, since it is smaller than the sum of its proper divisors (2503104077304).

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

978694125696 is a wasteful number, since it uses less digits than its factorization.

978694125696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3558 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 978694125696 in words is "nine hundred seventy-eight billion, six hundred ninety-four million, one hundred twenty-five thousand, six hundred ninety-six".