7298425344000 has 1040 divisors, whose sum is σ = 28346524240320. Its totient is φ = 1667368550400.

The previous prime is 7298425343953. The next prime is 7298425344013. The reversal of 7298425344000 is 4435248927.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3687935011 + ... + 3687936989.

It is an arithmetic number, because the mean of its divisors is an integer number (27256273308).

Almost surely, 2^{7298425344000} is an apocalyptic number.

7298425344000 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 7298425344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173262120160).

7298425344000 is an abundant number, since it is smaller than the sum of its proper divisors (21048098896320).

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

7298425344000 is an frugal number, since it uses more digits than its factorization.

7298425344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 7298425344000 in words is "seven trillion, two hundred ninety-eight billion, four hundred twenty-five million, three hundred forty-four thousand".