9778944000 has 768 divisors, whose sum is σ = 39739714560. Its totient is φ = 2084044800.

The previous prime is 9778943957. The next prime is 9778944011. The reversal of 9778944000 is 4498779.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91391947 + ... + 91392053.

It is an arithmetic number, because the mean of its divisors is an integer number (51744420).

Almost surely, 2^9778944000 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 9778944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19869857280).

9778944000 is an abundant number, since it is smaller than the sum of its proper divisors (29960770560).

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

9778944000 is a wasteful number, since it uses less digits than its factorization.

9778944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 9778944000 is about 98888.5433202451. The cubic root of 9778944000 is about 2138.4412324768.

The spelling of 9778944000 in words is "nine billion, seven hundred seventy-eight million, nine hundred forty-four thousand".