7488494048640 has 1024 divisors, whose sum is σ = 27923180544000. Its totient is φ = 1686961520640.

The previous prime is 7488494048603. The next prime is 7488494048713. The reversal of 7488494048640 is 468404948847.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 127 ways as a sum of consecutive naturals, for example, 11646180159 + ... + 11646180801.

It is an arithmetic number, because the mean of its divisors is an integer number (27268731000).

Almost surely, 2^{7488494048640} 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 7488494048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13961590272000).

7488494048640 is an abundant number, since it is smaller than the sum of its proper divisors (20434686495360).

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

7488494048640 is a wasteful number, since it uses less digits than its factorization.

7488494048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 66.

The spelling of 7488494048640 in words is "seven trillion, four hundred eighty-eight billion, four hundred ninety-four million, forty-eight thousand, six hundred forty".