7312919386080 has 384 divisors, whose sum is σ = 28785313751040. Its totient is φ = 1516102871040.

The previous prime is 7312919386063. The next prime is 7312919386111. The reversal of 7312919386080 is 806839192137.

It is a Cunningham number, because it is equal to 2704241²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 7312919386080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16000087 + ... + 16450793.

It is an arithmetic number, because the mean of its divisors is an integer number (74961754560).

Almost surely, 2^{7312919386080} is an apocalyptic number.

7312919386080 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 7312919386080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14392656875520).

7312919386080 is an abundant number, since it is smaller than the sum of its proper divisors (21472394364960).

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

7312919386080 is a wasteful number, since it uses less digits than its factorization.

7312919386080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451182 (or 451174 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 7312919386080 in words is "seven trillion, three hundred twelve billion, nine hundred nineteen million, three hundred eighty-six thousand, eighty".