193826400768 has 2400 divisors, whose sum is σ = 853449125760. Its totient is φ = 42918543360.

The previous prime is 193826400767. The next prime is 193826400769. The reversal of 193826400768 is 867004628391.

193826400768 is a `hidden beast` number, since 1 + 93 + 82 + 6 + 400 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (193826400767) and next prime (193826400769).

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 (193826400763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6683668978 + ... + 6683669006.

Almost surely, 2^193826400768 is an apocalyptic number.

193826400768 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 193826400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426724562880).

193826400768 is an abundant number, since it is smaller than the sum of its proper divisors (659622724992).

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

193826400768 is a wasteful number, since it uses less digits than its factorization.

193826400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 193826400768 in words is "one hundred ninety-three billion, eight hundred twenty-six million, four hundred thousand, seven hundred sixty-eight".