4657163840 has 168 divisors, whose sum is σ = 12966786360. Its totient is φ = 1588543488.

The previous prime is 4657163837. The next prime is 4657163851. The reversal of 4657163840 is 483617564.

It can be written as a sum of positive squares in 4 ways, for example, as 3067387456 + 1589776384 = 55384^2 + 39872^2 .

It is a super-3 number, since 3×4657163840³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4657163791 and 4657163800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3590072 + ... + 3591368.

Almost surely, 2^4657163840 is an apocalyptic number.

4657163840 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 4657163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483393180).

4657163840 is an abundant number, since it is smaller than the sum of its proper divisors (8309622520).

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

4657163840 is a wasteful number, since it uses less digits than its factorization.

4657163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 4657163840 is about 68243.4160926899. The cubic root of 4657163840 is about 1669.9642432016.

The spelling of 4657163840 in words is "four billion, six hundred fifty-seven million, one hundred sixty-three thousand, eight hundred forty".