168503415778740 has 768 divisors, whose sum is σ = 598839671808000. Its totient is φ = 34533100707840.

The previous prime is 168503415778729. The next prime is 168503415778751. The reversal of 168503415778740 is 47877514305861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (168503415778729) and next prime (168503415778751).

It is a super-2 number, since 2×168503415778740² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4136149291 + ... + 4136190029.

It is an arithmetic number, because the mean of its divisors is an integer number (779739156000).

Almost surely, 2^{168503415778740} is an apocalyptic number.

168503415778740 is a gapful number since it is divisible by the number (10) 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 168503415778740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299419835904000).

168503415778740 is an abundant number, since it is smaller than the sum of its proper divisors (430336256029260).

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

168503415778740 is a wasteful number, since it uses less digits than its factorization.

168503415778740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41160 (or 41158 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 66.

The spelling of 168503415778740 in words is "one hundred sixty-eight trillion, five hundred three billion, four hundred fifteen million, seven hundred seventy-eight thousand, seven hundred forty".