4737193920 has 336 divisors, whose sum is σ = 16889333760. Its totient is φ = 1217968128.

The previous prime is 4737193897. The next prime is 4737193921. The reversal of 4737193920 is 293917374.

4737193920 is a `hidden beast` number, since 473 + 7 + 1 + 93 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4737193921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10693219 + ... + 10693661.

Almost surely, 2^4737193920 is an apocalyptic number.

4737193920 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 4737193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444666880).

4737193920 is an abundant number, since it is smaller than the sum of its proper divisors (12152139840).

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

4737193920 is a wasteful number, since it uses less digits than its factorization.

4737193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 4737193920 is about 68827.2759885207. The cubic root of 4737193920 is about 1679.4756867236.

The spelling of 4737193920 in words is "four billion, seven hundred thirty-seven million, one hundred ninety-three thousand, nine hundred twenty".