4656272712 has 128 divisors (see below), whose sum is σ = 14821228800. Its totient is φ = 1185666048.

The previous prime is 4656272711. The next prime is 4656272713. The reversal of 4656272712 is 2172726564.

It is an interprime number because it is at equal distance from previous prime (4656272711) and next prime (4656272713).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4656272711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26578 + ... + 100094.

It is an arithmetic number, because the mean of its divisors is an integer number (115790850).

Almost surely, 2^4656272712 is an apocalyptic number.

4656272712 is a gapful number since it is divisible by the number (42) 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 4656272712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7410614400).

4656272712 is an abundant number, since it is smaller than the sum of its proper divisors (10164956088).

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

4656272712 is a wasteful number, since it uses less digits than its factorization.

4656272712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73575 (or 73571 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 4656272712 is about 68236.8867402375. The cubic root of 4656272712 is about 1669.8577229477.

The spelling of 4656272712 in words is "four billion, six hundred fifty-six million, two hundred seventy-two thousand, seven hundred twelve".