7373825263728 has 1440 divisors, whose sum is σ = 28755310970880. Its totient is φ = 1737469440000.

The previous prime is 7373825263703. The next prime is 7373825263801. The reversal of 7373825263728 is 8273625283737.

7373825263728 is a `hidden beast` number, since 7 + 3 + 7 + 3 + 8 + 252 + 6 + 372 + 8 = 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 287 ways as a sum of consecutive naturals, for example, 4617297426 + ... + 4617299022.

It is an arithmetic number, because the mean of its divisors is an integer number (19968965952).

Almost surely, 2^{7373825263728} 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 7373825263728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377655485440).

7373825263728 is an abundant number, since it is smaller than the sum of its proper divisors (21381485707152).

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

7373825263728 is a wasteful number, since it uses less digits than its factorization.

7373825263728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1771 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 63.

The spelling of 7373825263728 in words is "seven trillion, three hundred seventy-three billion, eight hundred twenty-five million, two hundred sixty-three thousand, seven hundred twenty-eight".