194172800640 has 1024 divisors, whose sum is σ = 802129305600. Its totient is φ = 38831063040.

The previous prime is 194172800611. The next prime is 194172800641. The reversal of 194172800640 is 46008271491.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 194172800592 and 194172800601.

It is not an unprimeable number, because it can be changed into a prime (194172800641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 847916046 + ... + 847916274.

It is an arithmetic number, because the mean of its divisors is an integer number (783329400).

Almost surely, 2^194172800640 is an apocalyptic number.

194172800640 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 194172800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401064652800).

194172800640 is an abundant number, since it is smaller than the sum of its proper divisors (607956504960).

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

194172800640 is a wasteful number, since it uses less digits than its factorization.

194172800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 194172800640 in words is "one hundred ninety-four billion, one hundred seventy-two million, eight hundred thousand, six hundred forty".