7438096512 has 600 divisors, whose sum is σ = 28324427175. Its totient is φ = 1931973120.

The previous prime is 7438096489. The next prime is 7438096529. The reversal of 7438096512 is 2156908347.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7438096512 is a `hidden beast` number, since 7 + 43 + 8 + 0 + 96 + 512 = 666.

7438096512 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3719048256 + 3719048256 = 60984^2 + 60984^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=60984.

It is a super-2 number, since 2×7438096512² (a number of 21 digits) contains 22 as substring.

7438096512 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 676190587 + ... + 676190597.

It is a 1-persistent number, because it is pandigital, but 2⋅7438096512 = 14876193024 is not.

Almost surely, 2^7438096512 is an apocalyptic number.

7438096512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7438096512

7438096512 is an abundant number, since it is smaller than the sum of its proper divisors (20886330663).

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

7438096512 is an frugal number, since it uses more digits than its factorization.

7438096512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7438096512 is about 86244.3998877608. The cubic root of 7438096512 is about 1952.0335141608.

The spelling of 7438096512 in words is "seven billion, four hundred thirty-eight million, ninety-six thousand, five hundred twelve".