7409650248 has 576 divisors, whose sum is σ = 28906113600. Its totient is φ = 1680860160.

The previous prime is 7409650231. The next prime is 7409650253. The reversal of 7409650248 is 8420569047.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9585190 + ... + 9585962.

It is an arithmetic number, because the mean of its divisors is an integer number (50184225).

Almost surely, 2^7409650248 is an apocalyptic number.

7409650248 is a gapful number since it is divisible by the number (78) 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 7409650248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14453056800).

7409650248 is an abundant number, since it is smaller than the sum of its proper divisors (21496463352).

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

7409650248 is a wasteful number, since it uses less digits than its factorization.

7409650248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7409650248 is about 86079.3253226348. The cubic root of 7409650248 is about 1949.5418821254.

The spelling of 7409650248 in words is "seven billion, four hundred nine million, six hundred fifty thousand, two hundred forty-eight".