4957640683776 has 243 divisors, whose sum is σ = 15715423693333. Its totient is φ = 1501959106560.

The previous prime is 4957640683763. The next prime is 4957640683871. The reversal of 4957640683776 is 6773860467594.

The square root of 4957640683776 is 2226576.

It is a perfect power (a square), and thus also a powerful number.

4957640683776 is a `hidden beast` number, since 4 + 9 + 5 + 76 + 406 + 83 + 7 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4404961440000 + 552679243776 = 2098800^2 + 743424^2 .

It is a super-2 number, since 2×4957640683776² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1175630020 + ... + 1175634236.

Almost surely, 2^{4957640683776} is an apocalyptic number.

4957640683776 is the 2226576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4957640683776

4957640683776 is an abundant number, since it is smaller than the sum of its proper divisors (10757783009557).

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

4957640683776 is an frugal number, since it uses more digits than its factorization.

4957640683776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8478 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 4957640683776 in words is "four trillion, nine hundred fifty-seven billion, six hundred forty million, six hundred eighty-three thousand, seven hundred seventy-six".