54064620324 has 243 divisors, whose sum is σ = 163263164337. Its totient is φ = 15067166400.

The previous prime is 54064620307. The next prime is 54064620329. The reversal of 54064620324 is 42302646045.

The square root of 54064620324 is 232518.

It is a perfect power (a square), and thus also a powerful number.

54064620324 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 4 + 620 + 3 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7997724900 + 46066895424 = 89430^2 + 214632^2 .

It is a super-4 number, since 4×54064620324⁴ (a number of 44 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (54064620329) 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 80 ways as a sum of consecutive naturals, for example, 199500309 + ... + 199500579.

Almost surely, 2^54064620324 is an apocalyptic number.

54064620324 is the 232518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54064620324

54064620324 is an abundant number, since it is smaller than the sum of its proper divisors (109198544013).

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

54064620324 is a wasteful number, since it uses less digits than its factorization.

54064620324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Multiplying 54064620324 by its sum of digits (36), we get a square (1946326331664 = 1395108²).

54064620324 divided by its sum of digits (36) gives a square (1501795009 = 38753²).

The spelling of 54064620324 in words is "fifty-four billion, sixty-four million, six hundred twenty thousand, three hundred twenty-four".