7448440688640 has 624 divisors, whose sum is σ = 31242173534208. Its totient is φ = 1602348908544.

The previous prime is 7448440688621. The next prime is 7448440688671. The reversal of 7448440688640 is 468860448447.

7448440688640 is a `hidden beast` number, since 74 + 4 + 8 + 440 + 6 + 8 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21764289 + ... + 22103871.

It is an arithmetic number, because the mean of its divisors is an integer number (50067585792).

Almost surely, 2^{7448440688640} is an apocalyptic number.

7448440688640 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 7448440688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15621086767104).

7448440688640 is an abundant number, since it is smaller than the sum of its proper divisors (23793732845568).

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

7448440688640 is a wasteful number, since it uses less digits than its factorization.

7448440688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339642 (or 339617 counting only the distinct ones).

The product of its (nonzero) digits is 132120576, while the sum is 63.

The spelling of 7448440688640 in words is "seven trillion, four hundred forty-eight billion, four hundred forty million, six hundred eighty-eight thousand, six hundred forty".