7420314825 has 288 divisors, whose sum is σ = 17808860160. Its totient is φ = 2971987200.

The previous prime is 7420314791. The next prime is 7420314893. The reversal of 7420314825 is 5284130247.

It is a happy number.

It is not a de Polignac number, because 7420314825 - 2⁹ = 7420314313 is a prime.

It is a super-2 number, since 2×7420314825² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7420314825.

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, 13565202 + ... + 13565748.

It is an arithmetic number, because the mean of its divisors is an integer number (61836320).

Almost surely, 2^7420314825 is an apocalyptic number.

7420314825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7420314825 is an abundant number, since it is smaller than the sum of its proper divisors (10388545335).

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

7420314825 is a wasteful number, since it uses less digits than its factorization.

7420314825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7420314825 is about 86141.2492653781. The cubic root of 7420314825 is about 1950.4767473379.

The spelling of 7420314825 in words is "seven billion, four hundred twenty million, three hundred fourteen thousand, eight hundred twenty-five".