4507349656320 has 2592 divisors, whose sum is σ = 20103138498240. Its totient is φ = 953126092800.

The previous prime is 4507349656319. The next prime is 4507349656357. The reversal of 4507349656320 is 236569437054.

4507349656320 is a `hidden beast` number, since 4 + 5 + 0 + 73 + 4 + 9 + 6 + 563 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44627224270 + ... + 44627224370.

It is an arithmetic number, because the mean of its divisors is an integer number (7755840470).

Almost surely, 2^{4507349656320} is an apocalyptic number.

4507349656320 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 4507349656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10051569249120).

4507349656320 is an abundant number, since it is smaller than the sum of its proper divisors (15595788841920).

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

4507349656320 is a wasteful number, since it uses less digits than its factorization.

4507349656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 4507349656320 in words is "four trillion, five hundred seven billion, three hundred forty-nine million, six hundred fifty-six thousand, three hundred twenty".