4479728591520 has 2304 divisors, whose sum is σ = 21475122278400. Its totient is φ = 860600401920.

The previous prime is 4479728591479. The next prime is 4479728591623. The reversal of 4479728591520 is 251958279744.

4479728591520 is a `hidden beast` number, since 4 + 479 + 7 + 2 + 8 + 5 + 9 + 152 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1450218136 + ... + 1450221224.

It is an arithmetic number, because the mean of its divisors is an integer number (9320799600).

Almost surely, 2^{4479728591520} is an apocalyptic number.

4479728591520 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 4479728591520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10737561139200).

4479728591520 is an abundant number, since it is smaller than the sum of its proper divisors (16995393686880).

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

4479728591520 is a wasteful number, since it uses less digits than its factorization.

4479728591520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 4479728591520 in words is "four trillion, four hundred seventy-nine billion, seven hundred twenty-eight million, five hundred ninety-one thousand, five hundred twenty".