978967113600 has 384 divisors, whose sum is σ = 3901887763200. Its totient is φ = 210601082880.

The previous prime is 978967113589. The next prime is 978967113601. The reversal of 978967113600 is 6311769879.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978967113601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713931 + ... + 1570869.

It is an arithmetic number, because the mean of its divisors is an integer number (10161166050).

Almost surely, 2^978967113600 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 978967113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950943881600).

978967113600 is an abundant number, since it is smaller than the sum of its proper divisors (2922920649600).

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

978967113600 is a wasteful number, since it uses less digits than its factorization.

978967113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856990 (or 856973 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 978967113600 in words is "nine hundred seventy-eight billion, nine hundred sixty-seven million, one hundred thirteen thousand, six hundred".