7572420034560 has 640 divisors, whose sum is σ = 27269660880000. Its totient is φ = 1993435250688.

The previous prime is 7572420034559. The next prime is 7572420034609. The reversal of 7572420034560 is 654300242757.

7572420034560 is a `hidden beast` number, since 7 + 5 + 7 + 242 + 0 + 0 + 345 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5874646396 + ... + 5874647684.

It is an arithmetic number, because the mean of its divisors is an integer number (42608845125).

Almost surely, 2^{7572420034560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7572420034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13634830440000).

7572420034560 is an abundant number, since it is smaller than the sum of its proper divisors (19697240845440).

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

7572420034560 is an frugal number, since it uses more digits than its factorization.

7572420034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 7572420034560 in words is "seven trillion, five hundred seventy-two billion, four hundred twenty million, thirty-four thousand, five hundred sixty".