5460544320 has 672 divisors, whose sum is σ = 22491167616. Its totient is φ = 1109606400.

The previous prime is 5460544301. The next prime is 5460544337. The reversal of 5460544320 is 234450645.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×5460544320⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31563754 + ... + 31563926.

Almost surely, 2^5460544320 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 5460544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11245583808).

5460544320 is an abundant number, since it is smaller than the sum of its proper divisors (17030623296).

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

5460544320 is a wasteful number, since it uses less digits than its factorization.

5460544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 5460544320 is about 73895.4959385212. The cubic root of 5460544320 is about 1760.9430552015.

Adding to 5460544320 its reverse (234450645), we get a palindrome (5694994965).

The spelling of 5460544320 in words is "five billion, four hundred sixty million, five hundred forty-four thousand, three hundred twenty".