7650406848 has 336 divisors, whose sum is σ = 25055047680. Its totient is φ = 2048385024.

The previous prime is 7650406831. The next prime is 7650406909. The reversal of 7650406848 is 8486040567.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 7650406797 and 7650406806.

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, 22701336 + ... + 22701672.

Almost surely, 2^7650406848 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 7650406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12527523840).

7650406848 is an abundant number, since it is smaller than the sum of its proper divisors (17404640832).

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

7650406848 is a wasteful number, since it uses less digits than its factorization.

7650406848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 7650406848 is about 87466.6041869696. The cubic root of 7650406848 is about 1970.4322660219.

The spelling of 7650406848 in words is "seven billion, six hundred fifty million, four hundred six thousand, eight hundred forty-eight".