4657335540 has 192 divisors, whose sum is σ = 15384563712. Its totient is φ = 1037836800.

The previous prime is 4657335493. The next prime is 4657335587. The reversal of 4657335540 is 455337564.

It is an interprime number because it is at equal distance from previous prime (4657335493) and next prime (4657335587).

It is a junction number, because it is equal to n+sod(n) for n = 4657335492 and 4657335501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2324179 + ... + 2326181.

It is an arithmetic number, because the mean of its divisors is an integer number (80127936).

Almost surely, 2^4657335540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4657335540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7692281856).

4657335540 is an abundant number, since it is smaller than the sum of its proper divisors (10727228172).

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

4657335540 is a wasteful number, since it uses less digits than its factorization.

4657335540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 42.

The square root of 4657335540 is about 68244.6740779088. The cubic root of 4657335540 is about 1669.9847656588.

The spelling of 4657335540 in words is "four billion, six hundred fifty-seven million, three hundred thirty-five thousand, five hundred forty".