6745598410320 has 2880 divisors, whose sum is σ = 32424084725760. Its totient is φ = 1283898470400.

The previous prime is 6745598410303. The next prime is 6745598410357. The reversal of 6745598410320 is 230148955476.

It is a happy number.

6745598410320 is a `hidden beast` number, since 6 + 7 + 4 + 5 + 598 + 4 + 10 + 32 + 0 = 666.

It is a super-2 number, since 2×6745598410320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6171635694 + ... + 6171636786.

It is an arithmetic number, because the mean of its divisors is an integer number (11258362752).

It is a 1-persistent number, because it is pandigital, but 2⋅6745598410320 = 13491196820640 is not.

Almost surely, 2^{6745598410320} is an apocalyptic number.

6745598410320 is a gapful number since it is divisible by the number (60) 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 6745598410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16212042362880).

6745598410320 is an abundant number, since it is smaller than the sum of its proper divisors (25678486315440).

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

6745598410320 is a wasteful number, since it uses less digits than its factorization.

6745598410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 6745598410320 in words is "six trillion, seven hundred forty-five billion, five hundred ninety-eight million, four hundred ten thousand, three hundred twenty".