7468122816 has 336 divisors, whose sum is σ = 27852185088. Its totient is φ = 1855180800.

The previous prime is 7468122803. The next prime is 7468122847. The reversal of 7468122816 is 6182218647.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1016436 + ... + 1023756.

It is an arithmetic number, because the mean of its divisors is an integer number (82893408).

Almost surely, 2^7468122816 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 7468122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13926092544).

7468122816 is an abundant number, since it is smaller than the sum of its proper divisors (20384062272).

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

7468122816 is a wasteful number, since it uses less digits than its factorization.

7468122816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7380 (or 7367 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 7468122816 is about 86418.3013950170. The cubic root of 7468122816 is about 1954.6566610339.

The spelling of 7468122816 in words is "seven billion, four hundred sixty-eight million, one hundred twenty-two thousand, eight hundred sixteen".