5978689920 has 768 divisors, whose sum is σ = 25786252800. Its totient is φ = 1302884352.

The previous prime is 5978689919. The next prime is 5978689933. The reversal of 5978689920 is 299868795.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19474407 + ... + 19474713.

It is an arithmetic number, because the mean of its divisors is an integer number (33575850).

Almost surely, 2^5978689920 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 5978689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893126400).

5978689920 is an abundant number, since it is smaller than the sum of its proper divisors (19807562880).

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

5978689920 is a wasteful number, since it uses less digits than its factorization.

5978689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The square root of 5978689920 is about 77321.9885931551. The cubic root of 5978689920 is about 1814.9667639567.

The spelling of 5978689920 in words is "five billion, nine hundred seventy-eight million, six hundred eighty-nine thousand, nine hundred twenty".