7250466098400 has 1152 divisors, whose sum is σ = 28232003036160. Its totient is φ = 1581854883840.

The previous prime is 7250466098357. The next prime is 7250466098431. The reversal of 7250466098400 is 48906640527.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7656246727 + ... + 7656247673.

It is an arithmetic number, because the mean of its divisors is an integer number (24506947080).

Almost surely, 2^{7250466098400} is an apocalyptic number.

7250466098400 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 7250466098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116001518080).

7250466098400 is an abundant number, since it is smaller than the sum of its proper divisors (20981536937760).

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

7250466098400 is a wasteful number, since it uses less digits than its factorization.

7250466098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 7250466098400 in words is "seven trillion, two hundred fifty billion, four hundred sixty-six million, ninety-eight thousand, four hundred".