7045459765344 has 768 divisors, whose sum is σ = 27632348190720. Its totient is φ = 1686666240000.

The previous prime is 7045459765339. The next prime is 7045459765349. The reversal of 7045459765344 is 4435679545407.

7045459765344 is a `hidden beast` number, since 7 + 0 + 4 + 5 + 4 + 5 + 97 + 6 + 534 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (7045459765339) and next prime (7045459765349).

It is a super-2 number, since 2×7045459765344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7045459765349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 606263854 + ... + 606275474.

It is an arithmetic number, because the mean of its divisors is an integer number (35979620040).

Almost surely, 2^{7045459765344} 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 7045459765344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13816174095360).

7045459765344 is an abundant number, since it is smaller than the sum of its proper divisors (20586888425376).

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

7045459765344 is a wasteful number, since it uses less digits than its factorization.

7045459765344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12372 (or 12358 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 63.

The spelling of 7045459765344 in words is "seven trillion, forty-five billion, four hundred fifty-nine million, seven hundred sixty-five thousand, three hundred forty-four".