5671464026400 has 180 divisors, whose sum is σ = 20682726755922. Its totient is φ = 1512390389760.

The previous prime is 5671464026399. The next prime is 5671464026429. The reversal of 5671464026400 is 46204641765.

5671464026400 is a `hidden beast` number, since 5 + 67 + 146 + 40 + 2 + 6 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4226823493776 + 1444640532624 = 2055924^2 + 1201932^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 43696497 + ... + 43826096.

Almost surely, 2^{5671464026400} is an apocalyptic number.

5671464026400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5671464026400 is an abundant number, since it is smaller than the sum of its proper divisors (15011262729522).

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

5671464026400 is a wasteful number, since it uses less digits than its factorization.

5671464026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87522625 (or 87522603 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 5671464026400 in words is "five trillion, six hundred seventy-one billion, four hundred sixty-four million, twenty-six thousand, four hundred".