4947157657728 has 1536 divisors, whose sum is σ = 18284797440000. Its totient is φ = 1260801884160.

The previous prime is 4947157657727. The next prime is 4947157657753. The reversal of 4947157657728 is 8277567517494.

It is a happy number.

4947157657728 is a `hidden beast` number, since 4 + 9 + 47 + 1 + 5 + 7 + 6 + 577 + 2 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4947157657727) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13053186243 + ... + 13053186621.

It is an arithmetic number, because the mean of its divisors is an integer number (11904165000).

Almost surely, 2^{4947157657728} is an apocalyptic number.

4947157657728 is a gapful number since it is divisible by the number (48) 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 4947157657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9142398720000).

4947157657728 is an abundant number, since it is smaller than the sum of its proper divisors (13337639782272).

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

4947157657728 is a wasteful number, since it uses less digits than its factorization.

4947157657728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 563 counting only the distinct ones).

The product of its digits is 829785600, while the sum is 72.

The spelling of 4947157657728 in words is "four trillion, nine hundred forty-seven billion, one hundred fifty-seven million, six hundred fifty-seven thousand, seven hundred twenty-eight".