7345887273600 has 768 divisors, whose sum is σ = 26197751808000. Its totient is φ = 1803843993600.

The previous prime is 7345887273589. The next prime is 7345887273611. The reversal of 7345887273600 is 63727885437.

It is an interprime number because it is at equal distance from previous prime (7345887273589) and next prime (7345887273611).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1362112504 + ... + 1362117896.

It is an arithmetic number, because the mean of its divisors is an integer number (34111656000).

Almost surely, 2^{7345887273600} 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 7345887273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13098875904000).

7345887273600 is an abundant number, since it is smaller than the sum of its proper divisors (18851864534400).

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

7345887273600 is a wasteful number, since it uses less digits than its factorization.

7345887273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 60.

The spelling of 7345887273600 in words is "seven trillion, three hundred forty-five billion, eight hundred eighty-seven million, two hundred seventy-three thousand, six hundred".