193794363840 has 448 divisors, whose sum is σ = 807504445440. Its totient is φ = 38149263360.

The previous prime is 193794363817. The next prime is 193794363857. The reversal of 193794363840 is 48363497391.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1335489 + ... + 1473471.

It is an arithmetic number, because the mean of its divisors is an integer number (1802465280).

Almost surely, 2^193794363840 is an apocalyptic number.

193794363840 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 193794363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403752222720).

193794363840 is an abundant number, since it is smaller than the sum of its proper divisors (613710081600).

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

193794363840 is a wasteful number, since it uses less digits than its factorization.

193794363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138040 (or 138030 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 193794363840 in words is "one hundred ninety-three billion, seven hundred ninety-four million, three hundred sixty-three thousand, eight hundred forty".