4525748640 has 672 divisors, whose sum is σ = 19196787456. Its totient is φ = 985374720.

The previous prime is 4525748609. The next prime is 4525748707. The reversal of 4525748640 is 468475254.

4525748640 is a `hidden beast` number, since 4 + 525 + 7 + 4 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18778920 + ... + 18779160.

It is an arithmetic number, because the mean of its divisors is an integer number (28566648).

Almost surely, 2^4525748640 is an apocalyptic number.

4525748640 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 4525748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9598393728).

4525748640 is an abundant number, since it is smaller than the sum of its proper divisors (14671038816).

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

4525748640 is a wasteful number, since it uses less digits than its factorization.

4525748640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 4525748640 is about 67273.6846025249. The cubic root of 4525748640 is about 1654.1065314876.

The spelling of 4525748640 in words is "four billion, five hundred twenty-five million, seven hundred forty-eight thousand, six hundred forty".