5924378880 has 504 divisors, whose sum is σ = 24342666432. Its totient is φ = 1352650752.

The previous prime is 5924378869. The next prime is 5924378881. The reversal of 5924378880 is 888734295.

It is a happy number.

5924378880 is a `hidden beast` number, since 59 + 2 + 437 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×5924378880² = 70196530227580108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5924378881) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 6531387 + ... + 6532293.

Almost surely, 2^5924378880 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 5924378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12171333216).

5924378880 is an abundant number, since it is smaller than the sum of its proper divisors (18418287552).

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

5924378880 is an frugal number, since it uses more digits than its factorization.

5924378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 5924378880 is about 76969.9868780033. The cubic root of 5924378880 is about 1809.4542558641.

The spelling of 5924378880 in words is "five billion, nine hundred twenty-four million, three hundred seventy-eight thousand, eight hundred eighty".