7468213824 has 56 divisors (see below), whose sum is σ = 21955170720. Its totient is φ = 2489404032.

The previous prime is 7468213801. The next prime is 7468213843. The reversal of 7468213824 is 4283128647.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7468213824.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2159214 + ... + 2162669.

It is an arithmetic number, because the mean of its divisors is an integer number (392056620).

Almost surely, 2^7468213824 is an apocalyptic number.

It is an amenable number.

7468213824 is an abundant number, since it is smaller than the sum of its proper divisors (14486956896).

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

7468213824 is a wasteful number, since it uses less digits than its factorization.

7468213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4321904 (or 4321888 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 7468213824 is about 86418.8279485437. The cubic root of 7468213824 is about 1954.6646009440.

The spelling of 7468213824 in words is "seven billion, four hundred sixty-eight million, two hundred thirteen thousand, eight hundred twenty-four".