4746193920 has 704 divisors, whose sum is σ = 19258176000. Its totient is φ = 1098842112.

The previous prime is 4746193891. The next prime is 4746193927. The reversal of 4746193920 is 293916474.

It is a happy number.

4746193920 is a `hidden beast` number, since 4 + 7 + 4 + 619 + 3 + 9 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4746193927) 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, 34145211 + ... + 34145349.

Almost surely, 2^4746193920 is an apocalyptic number.

4746193920 is a gapful number since it is divisible by the number (40) 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 4746193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9629088000).

4746193920 is an abundant number, since it is smaller than the sum of its proper divisors (14511982080).

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

4746193920 is a wasteful number, since it uses less digits than its factorization.

4746193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4746193920 is about 68892.6260204966. The cubic root of 4746193920 is about 1680.5386028173.

The spelling of 4746193920 in words is "four billion, seven hundred forty-six million, one hundred ninety-three thousand, nine hundred twenty".