5574686400 has 252 divisors, whose sum is σ = 20351203392. Its totient is φ = 1446266880.

The previous prime is 5574686399. The next prime is 5574686413. The reversal of 5574686400 is 46864755.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 527569 + ... + 538031.

Almost surely, 2^5574686400 is an apocalyptic number.

5574686400 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 5574686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10175601696).

5574686400 is an abundant number, since it is smaller than the sum of its proper divisors (14776516992).

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

5574686400 is a wasteful number, since it uses less digits than its factorization.

5574686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10528 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5574686400 is about 74663.8225648808. The cubic root of 5574686400 is about 1773.1282418074.

The spelling of 5574686400 in words is "five billion, five hundred seventy-four million, six hundred eighty-six thousand, four hundred".