4672016713728 has 2160 divisors, whose sum is σ = 18606630042000. Its totient is φ = 1160807251968.

The previous prime is 4672016713717. The next prime is 4672016713739. The reversal of 4672016713728 is 8273176102764.

4672016713728 is a `hidden beast` number, since 4 + 6 + 7 + 201 + 67 + 1 + 372 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4672016713717) and next prime (4672016713739).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 26100651943 + ... + 26100652121.

It is an arithmetic number, because the mean of its divisors is an integer number (8614180575).

Almost surely, 2^{4672016713728} is an apocalyptic number.

4672016713728 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 4672016713728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9303315021000).

4672016713728 is an abundant number, since it is smaller than the sum of its proper divisors (13934613328272).

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

4672016713728 is a wasteful number, since it uses less digits than its factorization.

4672016713728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 4672016713728 in words is "four trillion, six hundred seventy-two billion, sixteen million, seven hundred thirteen thousand, seven hundred twenty-eight".