978384447490320 has 2560 divisors, whose sum is σ = 4050151173734400. Its totient is φ = 214771079577600.

The previous prime is 978384447490313. The next prime is 978384447490357. The reversal of 978384447490320 is 23094744483879.

978384447490320 is a `hidden beast` number, since 9 + 7 + 8 + 3 + 8 + 44 + 474 + 90 + 3 + 20 = 666.

It is a super-2 number, since 2×978384447490320² (a number of 31 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 206715494674 + ... + 206715499406.

It is an arithmetic number, because the mean of its divisors is an integer number (1582090302240).

Almost surely, 2^{978384447490320} is an apocalyptic number.

978384447490320 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 978384447490320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025075586867200).

978384447490320 is an abundant number, since it is smaller than the sum of its proper divisors (3071766726244080).

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

978384447490320 is a wasteful number, since it uses less digits than its factorization.

978384447490320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 978384447490320 in words is "nine hundred seventy-eight trillion, three hundred eighty-four billion, four hundred forty-seven million, four hundred ninety thousand, three hundred twenty".