744085164690 has 384 divisors, whose sum is σ = 2389477708800. Its totient is φ = 156772122624.

The previous prime is 744085164679. The next prime is 744085164701. The reversal of 744085164690 is 96461580447.

744085164690 is a `hidden beast` number, since 7 + 440 + 8 + 51 + 64 + 6 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (744085164679) and next prime (744085164701).

It is a super-2 number, since 2×744085164690² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 531868611 + ... + 531870009.

It is an arithmetic number, because the mean of its divisors is an integer number (6222598200).

Almost surely, 2^744085164690 is an apocalyptic number.

744085164690 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 744085164690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194738854400).

744085164690 is an abundant number, since it is smaller than the sum of its proper divisors (1645392544110).

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

744085164690 is a wasteful number, since it uses less digits than its factorization.

744085164690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 744085164690 in words is "seven hundred forty-four billion, eighty-five million, one hundred sixty-four thousand, six hundred ninety".