4757361840 has 720 divisors, whose sum is σ = 20839291200. Its totient is φ = 950906880.

The previous prime is 4757361793. The next prime is 4757361857. The reversal of 4757361840 is 481637574.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17685226 + ... + 17685494.

It is an arithmetic number, because the mean of its divisors is an integer number (28943460).

Almost surely, 2^4757361840 is an apocalyptic number.

4757361840 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 4757361840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10419645600).

4757361840 is an abundant number, since it is smaller than the sum of its proper divisors (16081929360).

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

4757361840 is a wasteful number, since it uses less digits than its factorization.

4757361840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 4757361840 is about 68973.6314833430. The cubic root of 4757361840 is about 1681.8556875927.

The spelling of 4757361840 in words is "four billion, seven hundred fifty-seven million, three hundred sixty-one thousand, eight hundred forty".