5579366400 has 336 divisors, whose sum is σ = 20518069200. Its totient is φ = 1486356480.

The previous prime is 5579366393. The next prime is 5579366407. The reversal of 5579366400 is 46639755.

5579366400 is a `hidden beast` number, since 5 + 579 + 36 + 6 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5579366393) and next prime (5579366407).

It is a super-2 number, since 2×5579366400² = 62258658850897920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5579366407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5529096 + ... + 5530104.

Almost surely, 2^5579366400 is an apocalyptic number.

5579366400 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 5579366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10259034600).

5579366400 is an abundant number, since it is smaller than the sum of its proper divisors (14938702800).

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

5579366400 is a wasteful number, since it uses less digits than its factorization.

5579366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 5579366400 is about 74695.1564694793. The cubic root of 5579366400 is about 1773.6242887901.

The spelling of 5579366400 in words is "five billion, five hundred seventy-nine million, three hundred sixty-six thousand, four hundred".