4639580225280 has 5760 divisors, whose sum is σ = 24930918512640. Its totient is φ = 801146142720.

The previous prime is 4639580225243. The next prime is 4639580225311. The reversal of 4639580225280 is 825220859364.

4639580225280 is a `hidden beast` number, since 4 + 6 + 3 + 9 + 580 + 2 + 2 + 52 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 201720879349 + ... + 201720879371.

It is an arithmetic number, because the mean of its divisors is an integer number (4328284464).

Almost surely, 2^{4639580225280} is an apocalyptic number.

4639580225280 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 4639580225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12465459256320).

4639580225280 is an abundant number, since it is smaller than the sum of its proper divisors (20291338287360).

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

4639580225280 is a wasteful number, since it uses less digits than its factorization.

4639580225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 4639580225280 in words is "four trillion, six hundred thirty-nine billion, five hundred eighty million, two hundred twenty-five thousand, two hundred eighty".