7346760275360 has 192 divisors, whose sum is σ = 19936599621120. Its totient is φ = 2530251002880.

The previous prime is 7346760275321. The next prime is 7346760275401. The reversal of 7346760275360 is 635720676437.

It is a junction number, because it is equal to n+sod(n) for n = 7346760275296 and 7346760275305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131157119 + ... + 131213121.

It is an arithmetic number, because the mean of its divisors is an integer number (103836456360).

Almost surely, 2^{7346760275360} 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 7346760275360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9968299810560).

7346760275360 is an abundant number, since it is smaller than the sum of its proper divisors (12589839345760).

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

7346760275360 is a wasteful number, since it uses less digits than its factorization.

7346760275360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59971 (or 59963 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 56.

The spelling of 7346760275360 in words is "seven trillion, three hundred forty-six billion, seven hundred sixty million, two hundred seventy-five thousand, three hundred sixty".