7438023936000 has 4608 divisors, whose sum is σ = 35716681728000. Its totient is φ = 1504935936000.

The previous prime is 7438023935933. The next prime is 7438023936017. The reversal of 7438023936000 is 6393208347.

7438023936000 is a `hidden beast` number, since 7 + 4 + 3 + 8 + 0 + 2 + 39 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 239936255985 + ... + 239936256015.

It is an arithmetic number, because the mean of its divisors is an integer number (7751016000).

Almost surely, 2^{7438023936000} is an apocalyptic number.

7438023936000 is a gapful number since it is divisible by the number (70) 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 7438023936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858340864000).

7438023936000 is an abundant number, since it is smaller than the sum of its proper divisors (28278657792000).

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

7438023936000 is a wasteful number, since it uses less digits than its factorization.

7438023936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 7438023936000 in words is "seven trillion, four hundred thirty-eight billion, twenty-three million, nine hundred thirty-six thousand".