193967240064 has 512 divisors, whose sum is σ = 593857904640. Its totient is φ = 55668695040.

The previous prime is 193967240063. The next prime is 193967240069. The reversal of 193967240064 is 460042769391.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 193967239989 and 193967240016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193967240063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 685396467 + ... + 685396749.

It is an arithmetic number, because the mean of its divisors is an integer number (1159878720).

Almost surely, 2^193967240064 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 193967240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296928952320).

193967240064 is an abundant number, since it is smaller than the sum of its proper divisors (399890664576).

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

193967240064 is a wasteful number, since it uses less digits than its factorization.

193967240064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 193967240064 in words is "one hundred ninety-three billion, nine hundred sixty-seven million, two hundred forty thousand, sixty-four".