5646186480 has 320 divisors, whose sum is σ = 19604602368. Its totient is φ = 1332756480.

The previous prime is 5646186479. The next prime is 5646186493. The reversal of 5646186480 is 846816465.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 24232444 + ... + 24232676.

Almost surely, 2^5646186480 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 5646186480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9802301184).

5646186480 is an abundant number, since it is smaller than the sum of its proper divisors (13958415888).

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

5646186480 is a wasteful number, since it uses less digits than its factorization.

5646186480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 5646186480 is about 75141.1104522684. The cubic root of 5646186480 is about 1780.6766858650.

The spelling of 5646186480 in words is "five billion, six hundred forty-six million, one hundred eighty-six thousand, four hundred eighty".