7538448580992 has 288 divisors, whose sum is σ = 26168941791720. Its totient is φ = 2153842016256.

The previous prime is 7538448580973. The next prime is 7538448581009. The reversal of 7538448580992 is 2990858448357.

7538448580992 is a `hidden beast` number, since 7 + 5 + 38 + 4 + 4 + 8 + 580 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 7538448580992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 948993 + ... + 3997184.

Almost surely, 2^{7538448580992} is an apocalyptic number.

7538448580992 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 7538448580992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13084470895860).

7538448580992 is an abundant number, since it is smaller than the sum of its proper divisors (18630493210728).

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

7538448580992 is an equidigital number, since it uses as much as digits as its factorization.

7538448580992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946220 (or 4946189 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 7538448580992 in words is "seven trillion, five hundred thirty-eight billion, four hundred forty-eight million, five hundred eighty thousand, nine hundred ninety-two".