5979776400 has 300 divisors, whose sum is σ = 23113406932. Its totient is φ = 1471841280.

The previous prime is 5979776399. The next prime is 5979776419. The reversal of 5979776400 is 46779795.

It is a happy number.

5979776400 is a `hidden beast` number, since 597 + 9 + 7 + 7 + 6 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 156816 + 5979619584 = 396^2 + 77328^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

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 59 ways as a sum of consecutive naturals, for example, 414102 + ... + 428298.

Almost surely, 2^5979776400 is an apocalyptic number.

5979776400 is a gapful number since it is divisible by the number (50) 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 5979776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11556703466).

5979776400 is an abundant number, since it is smaller than the sum of its proper divisors (17133630532).

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

5979776400 is a wasteful number, since it uses less digits than its factorization.

5979776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14240 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 5979776400 is about 77329.0139598327. The cubic root of 5979776400 is about 1815.0766991698.

The spelling of 5979776400 in words is "five billion, nine hundred seventy-nine million, seven hundred seventy-six thousand, four hundred".