7838100468 has 144 divisors (see below), whose sum is σ = 21956014080. Its totient is φ = 2337940800.

The previous prime is 7838100463. The next prime is 7838100469. The reversal of 7838100468 is 8640018387.

7838100468 is a `hidden beast` number, since 7 + 83 + 8 + 100 + 468 = 666.

It is a super-2 number, since 2×7838100468² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7838100463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7210221 + ... + 7211307.

It is an arithmetic number, because the mean of its divisors is an integer number (152472320).

Almost surely, 2^7838100468 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 7838100468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10978007040).

7838100468 is an abundant number, since it is smaller than the sum of its proper divisors (14117913612).

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

7838100468 is a wasteful number, since it uses less digits than its factorization.

7838100468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7838100468 is about 88533.0473213252. The cubic root of 7838100468 is about 1986.4163230612.

The spelling of 7838100468 in words is "seven billion, eight hundred thirty-eight million, one hundred thousand, four hundred sixty-eight".