4957730977320 has 1536 divisors, whose sum is σ = 19889460264960. Its totient is φ = 1056706560000.

The previous prime is 4957730977291. The next prime is 4957730977387. The reversal of 4957730977320 is 237790377594.

4957730977320 is a `hidden beast` number, since 4 + 9 + 577 + 30 + 9 + 7 + 7 + 3 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9063493287 + ... + 9063493833.

It is an arithmetic number, because the mean of its divisors is an integer number (12948867360).

Almost surely, 2^{4957730977320} is an apocalyptic number.

4957730977320 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 4957730977320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9944730132480).

4957730977320 is an abundant number, since it is smaller than the sum of its proper divisors (14931729287640).

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

4957730977320 is a wasteful number, since it uses less digits than its factorization.

4957730977320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 70013160, while the sum is 63.

The spelling of 4957730977320 in words is "four trillion, nine hundred fifty-seven billion, seven hundred thirty million, nine hundred seventy-seven thousand, three hundred twenty".