978305664 has 256 divisors, whose sum is σ = 3196108800. Its totient is φ = 258785280.

The previous prime is 978305623. The next prime is 978305689. The reversal of 978305664 is 466503879.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3609849 + ... + 3610119.

It is an arithmetic number, because the mean of its divisors is an integer number (12484800).

Almost surely, 2^978305664 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 978305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598054400).

978305664 is an abundant number, since it is smaller than the sum of its proper divisors (2217803136).

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

978305664 is a wasteful number, since it uses less digits than its factorization.

978305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 978305664 is about 31277.8781889053. The cubic root of 978305664 is about 992.7156213358.

The spelling of 978305664 in words is "nine hundred seventy-eight million, three hundred five thousand, six hundred sixty-four".