4957381746660 has 384 divisors, whose sum is σ = 16891264696320. Its totient is φ = 1060474208256.

The previous prime is 4957381746659. The next prime is 4957381746661. The reversal of 4957381746660 is 666471837594.

It is an interprime number because it is at equal distance from previous prime (4957381746659) and next prime (4957381746661).

It is a junction number, because it is equal to n+sod(n) for n = 4957381746591 and 4957381746600.

It is not an unprimeable number, because it can be changed into a prime (4957381746661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2638307601 + ... + 2638309479.

It is an arithmetic number, because the mean of its divisors is an integer number (43987668480).

Almost surely, 2^{4957381746660} 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 4957381746660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8445632348160).

4957381746660 is an abundant number, since it is smaller than the sum of its proper divisors (11933882949660).

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

4957381746660 is a wasteful number, since it uses less digits than its factorization.

4957381746660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 4957381746660 in words is "four trillion, nine hundred fifty-seven billion, three hundred eighty-one million, seven hundred forty-six thousand, six hundred sixty".