5461447680 has 440 divisors, whose sum is σ = 21096987912. Its totient is φ = 1343029248.

The previous prime is 5461447627. The next prime is 5461447777. The reversal of 5461447680 is 867441645.

5461447680 is a `hidden beast` number, since 5 + 461 + 44 + 76 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318836736 + 5142610944 = 17856^2 + 71712^2 .

It is a super-2 number, since 2×5461447680² = 59654821522754764800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5390854 + ... + 5391866.

Almost surely, 2^5461447680 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 5461447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548493956).

5461447680 is an abundant number, since it is smaller than the sum of its proper divisors (15635540232).

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

5461447680 is a wasteful number, since it uses less digits than its factorization.

5461447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5461447680 is about 73901.6081015833. The cubic root of 5461447680 is about 1761.0401564983.

The spelling of 5461447680 in words is "five billion, four hundred sixty-one million, four hundred forty-seven thousand, six hundred eighty".