193478004720 has 1920 divisors, whose sum is σ = 935940096000. Its totient is φ = 34488115200.

The previous prime is 193478004719. The next prime is 193478004757. The reversal of 193478004720 is 27400874391.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 972251181 + ... + 972251379.

It is an arithmetic number, because the mean of its divisors is an integer number (487468800).

Almost surely, 2^193478004720 is an apocalyptic number.

193478004720 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 193478004720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467970048000).

193478004720 is an abundant number, since it is smaller than the sum of its proper divisors (742462091280).

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

193478004720 is a wasteful number, since it uses less digits than its factorization.

193478004720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 193478004720 in words is "one hundred ninety-three billion, four hundred seventy-eight million, four thousand, seven hundred twenty".