5462120320 has 64 divisors (see below), whose sum is σ = 13106836800. Its totient is φ = 2176657408.

The previous prime is 5462120311. The next prime is 5462120329. The reversal of 5462120320 is 230212645.

It is an interprime number because it is at equal distance from previous prime (5462120311) and next prime (5462120329).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5462120329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156297 + ... + 188023.

It is an arithmetic number, because the mean of its divisors is an integer number (204794325).

Almost surely, 2^5462120320 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 5462120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553418400).

5462120320 is an abundant number, since it is smaller than the sum of its proper divisors (7644716480).

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

5462120320 is a wasteful number, since it uses less digits than its factorization.

5462120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32015 (or 32003 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 5462120320 is about 73906.1588773223. The cubic root of 5462120320 is about 1761.1124509700.

Adding to 5462120320 its reverse (230212645), we get a palindrome (5692332965).

The spelling of 5462120320 in words is "five billion, four hundred sixty-two million, one hundred twenty thousand, three hundred twenty".