100426821768 has 768 divisors, whose sum is σ = 365695948800. Its totient is φ = 24153292800.

The previous prime is 100426821767. The next prime is 100426821779. The reversal of 100426821768 is 867128624001.

100426821768 is a `hidden beast` number, since 1 + 0 + 0 + 426 + 8 + 217 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (100426821767) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 888732880 + ... + 888732992.

It is an arithmetic number, because the mean of its divisors is an integer number (476166600).

Almost surely, 2^100426821768 is an apocalyptic number.

100426821768 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 100426821768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182847974400).

100426821768 is an abundant number, since it is smaller than the sum of its proper divisors (265269127032).

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

100426821768 is a wasteful number, since it uses less digits than its factorization.

100426821768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

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

The spelling of 100426821768 in words is "one hundred billion, four hundred twenty-six million, eight hundred twenty-one thousand, seven hundred sixty-eight".