5667078400 has 81 divisors (see below), whose sum is σ = 14041826743. Its totient is φ = 2264422400.

The previous prime is 5667078383. The next prime is 5667078409. The reversal of 5667078400 is 48707665.

The square root of 5667078400 is 75280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2408704 + 5664669696 = 1552^2 + 75264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5667078409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6021930 + ... + 6022870.

Almost surely, 2^5667078400 is an apocalyptic number.

5667078400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5667078400 is the 75280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5667078400

5667078400 is an abundant number, since it is smaller than the sum of its proper divisors (8374748343).

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

5667078400 is an frugal number, since it uses more digits than its factorization.

5667078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The cubic root of 5667078400 is about 1782.8702587401.

The spelling of 5667078400 in words is "five billion, six hundred sixty-seven million, seventy-eight thousand, four hundred".