7434985168 has 40 divisors (see below), whose sum is σ = 15566456808. Its totient is φ = 3419791872.

The previous prime is 7434985097. The next prime is 7434985169. The reversal of 7434985168 is 8615894347.

It can be written as a sum of positive squares in 4 ways, for example, as 4016010384 + 3418974784 = 63372^2 + 58472^2 .

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7434985169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 121942.

Almost surely, 2^7434985168 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 7434985168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783228404).

7434985168 is an abundant number, since it is smaller than the sum of its proper divisors (8131471640).

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

7434985168 is a wasteful number, since it uses less digits than its factorization.

7434985168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122311 (or 122305 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The square root of 7434985168 is about 86226.3600530603. The cubic root of 7434985168 is about 1951.7612986915.

The spelling of 7434985168 in words is "seven billion, four hundred thirty-four million, nine hundred eighty-five thousand, one hundred sixty-eight".