7425249984 has 84 divisors (see below), whose sum is σ = 21858421104. Its totient is φ = 2408182272.

The previous prime is 7425249977. The next prime is 7425250037. The reversal of 7425249984 is 4899425247.

It is a happy number.

7425249984 is a `hidden beast` number, since 74 + 2 + 5 + 2 + 499 + 84 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7425249984.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152892 + ... + 195515.

Almost surely, 2^7425249984 is an apocalyptic number.

7425249984 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

7425249984 is an abundant number, since it is smaller than the sum of its proper divisors (14433171120).

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

7425249984 is a wasteful number, since it uses less digits than its factorization.

7425249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348462 (or 348449 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 7425249984 is about 86169.8902401529. The cubic root of 7425249984 is about 1950.9090641090.

The spelling of 7425249984 in words is "seven billion, four hundred twenty-five million, two hundred forty-nine thousand, nine hundred eighty-four".