745101680310 has 256 divisors, whose sum is σ = 2255346374400. Its totient is φ = 173742686208.

The previous prime is 745101680291. The next prime is 745101680311. The reversal of 745101680310 is 13086101547.

745101680310 is a `hidden beast` number, since 74 + 510 + 1 + 68 + 0 + 3 + 10 = 666.

It is a super-2 number, since 2×745101680310² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745101680311) 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, 5325814 + ... + 5463926.

It is an arithmetic number, because the mean of its divisors is an integer number (8809946775).

Almost surely, 2^745101680310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745101680310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127673187200).

745101680310 is an abundant number, since it is smaller than the sum of its proper divisors (1510244694090).

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

745101680310 is a wasteful number, since it uses less digits than its factorization.

745101680310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138224 (or 138218 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 745101680310 its reverse (13086101547), we get a palindrome (758187781857).

The spelling of 745101680310 in words is "seven hundred forty-five billion, one hundred one million, six hundred eighty thousand, three hundred ten".