5461726320 has 640 divisors, whose sum is σ = 21084364800. Its totient is φ = 1310100480.

The previous prime is 5461726271. The next prime is 5461726327. The reversal of 5461726320 is 236271645.

5461726320 is a `hidden beast` number, since 5 + 4 + 6 + 17 + 2 + 632 + 0 = 666.

It is a super-3 number, since 3×5461726320³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461726327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103051414 + ... + 103051466.

It is an arithmetic number, because the mean of its divisors is an integer number (32944320).

Almost surely, 2^5461726320 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 5461726320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10542182400).

5461726320 is an abundant number, since it is smaller than the sum of its proper divisors (15622638480).

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

5461726320 is a wasteful number, since it uses less digits than its factorization.

5461726320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5461726320 is about 73903.4932868535. The cubic root of 5461726320 is about 1761.0701050830.

Adding to 5461726320 its reverse (236271645), we get a palindrome (5697997965).

The spelling of 5461726320 in words is "five billion, four hundred sixty-one million, seven hundred twenty-six thousand, three hundred twenty".