7642914048 has 432 divisors, whose sum is σ = 27927384576. Its totient is φ = 1952501760.

The previous prime is 7642914029. The next prime is 7642914079. The reversal of 7642914048 is 8404192467.

It is a junction number, because it is equal to n+sod(n) for n = 7642913994 and 7642914012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11886015 + ... + 11886657.

Almost surely, 2^7642914048 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 7642914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13963692288).

7642914048 is an abundant number, since it is smaller than the sum of its proper divisors (20284470528).

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

7642914048 is a wasteful number, since it uses less digits than its factorization.

7642914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7642914048 is about 87423.7613466728. The cubic root of 7642914048 is about 1969.7887761715.

The spelling of 7642914048 in words is "seven billion, six hundred forty-two million, nine hundred fourteen thousand, forty-eight".