4579027740672 has 768 divisors, whose sum is σ = 15827954688000. Its totient is φ = 1166604042240.

The previous prime is 4579027740667. The next prime is 4579027740673. The reversal of 4579027740672 is 2760477209754.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×4579027740672³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4579027740673) 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 63 ways as a sum of consecutive naturals, for example, 1228607673 + ... + 1228611399.

It is an arithmetic number, because the mean of its divisors is an integer number (20609316000).

Almost surely, 2^{4579027740672} is an apocalyptic number.

4579027740672 is a gapful number since it is divisible by the number (42) 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 4579027740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913977344000).

4579027740672 is an abundant number, since it is smaller than the sum of its proper divisors (11248926947328).

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

4579027740672 is a wasteful number, since it uses less digits than its factorization.

4579027740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 60.

The spelling of 4579027740672 in words is "four trillion, five hundred seventy-nine billion, twenty-seven million, seven hundred forty thousand, six hundred seventy-two".