4757405640 has 128 divisors (see below), whose sum is σ = 15407763840. Its totient is φ = 1168183296.

The previous prime is 4757405617. The next prime is 4757405641. The reversal of 4757405640 is 465047574.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4757405592 and 4757405601.

It is not an unprimeable number, because it can be changed into a prime (4757405641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671959 + ... + 679001.

It is an arithmetic number, because the mean of its divisors is an integer number (120373155).

Almost surely, 2^4757405640 is an apocalyptic number.

4757405640 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 4757405640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7703881920).

4757405640 is an abundant number, since it is smaller than the sum of its proper divisors (10650358200).

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

4757405640 is a wasteful number, since it uses less digits than its factorization.

4757405640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7503 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The square root of 4757405640 is about 68973.9489952547. The cubic root of 4757405640 is about 1681.8608490705.

The spelling of 4757405640 in words is "four billion, seven hundred fifty-seven million, four hundred five thousand, six hundred forty".