978976627200 has 2880 divisors, whose sum is σ = 4468178018304. Its totient is φ = 209018880000.

The previous prime is 978976627183. The next prime is 978976627219. The reversal of 978976627200 is 2726679879.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13788403165 + ... + 13788403235.

Almost surely, 2^978976627200 is an apocalyptic number.

978976627200 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 978976627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234089009152).

978976627200 is an abundant number, since it is smaller than the sum of its proper divisors (3489201391104).

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

978976627200 is a wasteful number, since it uses less digits than its factorization.

978976627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 978976627200 in words is "nine hundred seventy-eight billion, nine hundred seventy-six million, six hundred twenty-seven thousand, two hundred".