5627720400 has 120 divisors (see below), whose sum is σ = 18044258784. Its totient is φ = 1499328000.

The previous prime is 5627720363. The next prime is 5627720407. The reversal of 5627720400 is 40277265.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5627720407) 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, 2279967 + ... + 2282433.

Almost surely, 2^5627720400 is an apocalyptic number.

5627720400 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 5627720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022129392).

5627720400 is an abundant number, since it is smaller than the sum of its proper divisors (12416538384).

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

5627720400 is a wasteful number, since it uses less digits than its factorization.

5627720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4389 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 5627720400 is about 75018.1338077668. The cubic root of 5627720400 is about 1778.7333074474.

Adding to 5627720400 its reverse (40277265), we get a palindrome (5667997665).

The spelling of 5627720400 in words is "five billion, six hundred twenty-seven million, seven hundred twenty thousand, four hundred".