4742553600 has 504 divisors, whose sum is σ = 17747114112. Its totient is φ = 1209139200.

The previous prime is 4742553533. The next prime is 4742553619. The reversal of 4742553600 is 63552474.

4742553600 is a `hidden beast` number, since 4 + 7 + 42 + 5 + 5 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57139159 + ... + 57139241.

It is an arithmetic number, because the mean of its divisors is an integer number (35212528).

Almost surely, 2^4742553600 is an apocalyptic number.

4742553600 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 4742553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873557056).

4742553600 is an abundant number, since it is smaller than the sum of its proper divisors (13004560512).

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

4742553600 is a wasteful number, since it uses less digits than its factorization.

4742553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4742553600 is about 68866.2007083301. The cubic root of 4742553600 is about 1680.1088364864.

It can be divided in two parts, 47425 and 53600, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 4742553600 in words is "four billion, seven hundred forty-two million, five hundred fifty-three thousand, six hundred".