7420025600 has 216 divisors, whose sum is σ = 19996918032. Its totient is φ = 2709504000.

The previous prime is 7420025563. The next prime is 7420025611. The reversal of 7420025600 is 65200247.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 7420025600.

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 23 ways as a sum of consecutive naturals, for example, 8402759 + ... + 8403641.

Almost surely, 2^7420025600 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 7420025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998459016).

7420025600 is an abundant number, since it is smaller than the sum of its proper divisors (12576892432).

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

7420025600 is a wasteful number, since it uses less digits than its factorization.

7420025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 7420025600 is about 86139.5704656112. The cubic root of 7420025600 is about 1950.4514054676.

Adding to 7420025600 its reverse (65200247), we get a palindrome (7485225847).

The spelling of 7420025600 in words is "seven billion, four hundred twenty million, twenty-five thousand, six hundred".