5460575680 has 168 divisors, whose sum is σ = 15922904400. Its totient is φ = 1773563904.

The previous prime is 5460575671. The next prime is 5460575689. The reversal of 5460575680 is 865750645.

It is an interprime number because it is at equal distance from previous prime (5460575671) and next prime (5460575689).

It is a self number, because there is not a number n which added to its sum of digits gives 5460575680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460575689) 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, 288756 + ... + 307084.

Almost surely, 2^5460575680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5460575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7961452200).

5460575680 is an abundant number, since it is smaller than the sum of its proper divisors (10462328720).

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

5460575680 is a wasteful number, since it uses less digits than its factorization.

5460575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18379 (or 18362 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 46.

The square root of 5460575680 is about 73895.7081297689. The cubic root of 5460575680 is about 1760.9464262372.

The spelling of 5460575680 in words is "five billion, four hundred sixty million, five hundred seventy-five thousand, six hundred eighty".