5461653420 has 168 divisors, whose sum is σ = 17253311040. Its totient is φ = 1451623680.

The previous prime is 5461653401. The next prime is 5461653481. The reversal of 5461653420 is 243561645.

5461653420 is a `hidden beast` number, since 5 + 4 + 616 + 5 + 34 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7595821 + ... + 7596539.

It is an arithmetic number, because the mean of its divisors is an integer number (102698280).

Almost surely, 2^5461653420 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 5461653420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8626655520).

5461653420 is an abundant number, since it is smaller than the sum of its proper divisors (11791657620).

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

5461653420 is a wasteful number, since it uses less digits than its factorization.

5461653420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5461653420 is about 73903.0000744219. Note that the first 4 decimals coincide. The cubic root of 5461653420 is about 1761.0622697959.

The spelling of 5461653420 in words is "five billion, four hundred sixty-one million, six hundred fifty-three thousand, four hundred twenty".