10358719668 has 336 divisors, whose sum is σ = 32611622400. Its totient is φ = 2840650560.

The previous prime is 10358719639. The next prime is 10358719669. The reversal of 10358719668 is 86691785301.

It is a super-3 number, since 3×10358719668³ (a number of 31 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (10358719669) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14016843 + ... + 14017581.

It is an arithmetic number, because the mean of its divisors is an integer number (97058400).

Almost surely, 2^10358719668 is an apocalyptic number.

10358719668 is a gapful number since it is divisible by the number (18) 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 10358719668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16305811200).

10358719668 is an abundant number, since it is smaller than the sum of its proper divisors (22252902732).

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

10358719668 is a wasteful number, since it uses less digits than its factorization.

10358719668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10358719668 in words is "ten billion, three hundred fifty-eight million, seven hundred nineteen thousand, six hundred sixty-eight".