7438364976 has 320 divisors, whose sum is σ = 23868472320. Its totient is φ = 1950842880.

The previous prime is 7438364971. The next prime is 7438364987. The reversal of 7438364976 is 6794638347.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7438364971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17178456 + ... + 17178888.

It is an arithmetic number, because the mean of its divisors is an integer number (74588976).

Almost surely, 2^7438364976 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 7438364976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934236160).

7438364976 is an abundant number, since it is smaller than the sum of its proper divisors (16430107344).

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

7438364976 is a wasteful number, since it uses less digits than its factorization.

7438364976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 558 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 57.

The square root of 7438364976 is about 86245.9562878168. The cubic root of 7438364976 is about 1952.0569988619.

The spelling of 7438364976 in words is "seven billion, four hundred thirty-eight million, three hundred sixty-four thousand, nine hundred seventy-six".