978487776000 has 1440 divisors, whose sum is σ = 4197780787200. Its totient is φ = 221709312000.

The previous prime is 978487775987. The next prime is 978487776037. The reversal of 978487776000 is 677784879.

978487776000 is a `hidden beast` number, since 97 + 8 + 487 + 7 + 7 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3610655865 + ... + 3610656135.

Almost surely, 2^978487776000 is an apocalyptic number.

978487776000 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 978487776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098890393600).

978487776000 is an abundant number, since it is smaller than the sum of its proper divisors (3219293011200).

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

978487776000 is a wasteful number, since it uses less digits than its factorization.

978487776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 978487776000 in words is "nine hundred seventy-eight billion, four hundred eighty-seven million, seven hundred seventy-six thousand".