7648788878528 has 224 divisors, whose sum is σ = 18764025423360. Its totient is φ = 3019785338880.

The previous prime is 7648788878527. The next prime is 7648788878543. The reversal of 7648788878528 is 8258788878467.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 7648788878528.

It is not an unprimeable number, because it can be changed into a prime (7648788878527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608150576 + ... + 608163152.

It is an arithmetic number, because the mean of its divisors is an integer number (83767970640).

Almost surely, 2^{7648788878528} 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 7648788878528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9382012711680).

7648788878528 is an abundant number, since it is smaller than the sum of its proper divisors (11115236544832).

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

7648788878528 is a wasteful number, since it uses less digits than its factorization.

7648788878528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14583 (or 14573 counting only the distinct ones).

The product of its digits is 21579694080, while the sum is 86.

The spelling of 7648788878528 in words is "seven trillion, six hundred forty-eight billion, seven hundred eighty-eight million, eight hundred seventy-eight thousand, five hundred twenty-eight".