7312268917200 has 960 divisors, whose sum is σ = 26931773756160. Its totient is φ = 1681069178880.

The previous prime is 7312268917183. The next prime is 7312268917337. The reversal of 7312268917200 is 27198622137.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7312268917200.

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, 7803915132 + ... + 7803916068.

It is an arithmetic number, because the mean of its divisors is an integer number (28053930996).

Almost surely, 2^{7312268917200} 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 7312268917200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465886878080).

7312268917200 is an abundant number, since it is smaller than the sum of its proper divisors (19619504838960).

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

7312268917200 is a wasteful number, since it uses less digits than its factorization.

7312268917200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 7312268917200 in words is "seven trillion, three hundred twelve billion, two hundred sixty-eight million, nine hundred seventeen thousand, two hundred".