7300725696000 has 2400 divisors, whose sum is σ = 30449168253504. Its totient is φ = 1737179136000.

The previous prime is 7300725695959. The next prime is 7300725696007. The reversal of 7300725696000 is 6965270037.

7300725696000 is a `hidden beast` number, since 7 + 30 + 0 + 7 + 2 + 5 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7300725696007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 64608191944 + ... + 64608192056.

Almost surely, 2^{7300725696000} 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 7300725696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15224584126752).

7300725696000 is an abundant number, since it is smaller than the sum of its proper divisors (23148442557504).

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

7300725696000 is a wasteful number, since it uses less digits than its factorization.

7300725696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 7300725696000 in words is "seven trillion, three hundred billion, seven hundred twenty-five million, six hundred ninety-six thousand".