4757538240 has 560 divisors, whose sum is σ = 20839127232. Its totient is φ = 1003290624.

The previous prime is 4757538223. The next prime is 4757538257. The reversal of 4757538240 is 428357574.

4757538240 is a `hidden beast` number, since 4 + 7 + 575 + 38 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4757538223) and next prime (4757538257).

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 2357712 + ... + 2359728.

Almost surely, 2^4757538240 is an apocalyptic number.

4757538240 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 4757538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10419563616).

4757538240 is an abundant number, since it is smaller than the sum of its proper divisors (16081588992).

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

4757538240 is a wasteful number, since it uses less digits than its factorization.

4757538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 4757538240 is about 68974.9102210362. The cubic root of 4757538240 is about 1681.8764747212.

The spelling of 4757538240 in words is "four billion, seven hundred fifty-seven million, five hundred thirty-eight thousand, two hundred forty".