4546638720 has 192 divisors, whose sum is σ = 16908091200. Its totient is φ = 1119154176.

The previous prime is 4546638683. The next prime is 4546638737. The reversal of 4546638720 is 278366454.

4546638720 is a `hidden beast` number, since 4 + 5 + 4 + 6 + 638 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×4546638720³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44521 + ... + 105239.

It is an arithmetic number, because the mean of its divisors is an integer number (88062975).

Almost surely, 2^4546638720 is an apocalyptic number.

4546638720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4546638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8454045600).

4546638720 is an abundant number, since it is smaller than the sum of its proper divisors (12361452480).

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

4546638720 is a wasteful number, since it uses less digits than its factorization.

4546638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60757 (or 60742 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4546638720 is about 67428.7677478982. The cubic root of 4546638720 is about 1656.6476497774.

The spelling of 4546638720 in words is "four billion, five hundred forty-six million, six hundred thirty-eight thousand, seven hundred twenty".