7468668648 has 192 divisors, whose sum is σ = 23493375360. Its totient is φ = 2099478528.

The previous prime is 7468668643. The next prime is 7468668661. The reversal of 7468668648 is 8468668647.

It is a super-2 number, since 2×7468668648² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7468668643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11097240 + ... + 11097912.

It is an arithmetic number, because the mean of its divisors is an integer number (122361330).

Almost surely, 2^7468668648 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 7468668648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11746687680).

7468668648 is an abundant number, since it is smaller than the sum of its proper divisors (16024706712).

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

7468668648 is a wasteful number, since it uses less digits than its factorization.

7468668648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1009 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The square root of 7468668648 is about 86421.4594183644. The cubic root of 7468668648 is about 1954.7042806830.

Subtracting 7468668648 from its reverse (8468668647), we obtain a palindrome (999999999).

The spelling of 7468668648 in words is "seven billion, four hundred sixty-eight million, six hundred sixty-eight thousand, six hundred forty-eight".