4657777664540 has 384 divisors, whose sum is σ = 13461355063296. Its totient is φ = 1306990080000.

The previous prime is 4657777664503. The next prime is 4657777664569. The reversal of 4657777664540 is 454667777564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135458150 + ... + 135492530.

It is an arithmetic number, because the mean of its divisors is an integer number (35055612144).

Almost surely, 2^{4657777664540} 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 4657777664540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730677531648).

4657777664540 is an abundant number, since it is smaller than the sum of its proper divisors (8803577398756).

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

4657777664540 is a wasteful number, since it uses less digits than its factorization.

4657777664540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34589 (or 34587 counting only the distinct ones).

The product of its (nonzero) digits is 829785600, while the sum is 68.

The spelling of 4657777664540 in words is "four trillion, six hundred fifty-seven billion, seven hundred seventy-seven million, six hundred sixty-four thousand, five hundred forty".