4742337600 has 1512 divisors, whose sum is σ = 23525244288. Its totient is φ = 890265600.

The previous prime is 4742337583. The next prime is 4742337601. The reversal of 4742337600 is 67332474.

It is a happy number.

4742337600 is a `hidden beast` number, since 4 + 7 + 42 + 3 + 3 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4742337601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 100900777 + ... + 100900823.

It is an arithmetic number, because the mean of its divisors is an integer number (15559024).

Almost surely, 2^4742337600 is an apocalyptic number.

4742337600 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 4742337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762622144).

4742337600 is an abundant number, since it is smaller than the sum of its proper divisors (18782906688).

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

4742337600 is a wasteful number, since it uses less digits than its factorization.

4742337600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 4742337600 is about 68864.6324320402. The cubic root of 4742337600 is about 1680.0833292001.

The spelling of 4742337600 in words is "four billion, seven hundred forty-two million, three hundred thirty-seven thousand, six hundred".