4611343177728 has 768 divisors, whose sum is σ = 16637991552000. Its totient is φ = 1248021872640.

The previous prime is 4611343177687. The next prime is 4611343177759. The reversal of 4611343177728 is 8277713431164.

4611343177728 is a `hidden beast` number, since 4 + 6 + 113 + 431 + 7 + 77 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 595699938 + ... + 595707678.

It is an arithmetic number, because the mean of its divisors is an integer number (21664051500).

Almost surely, 2^{4611343177728} is an apocalyptic number.

4611343177728 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 4611343177728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318995776000).

4611343177728 is an abundant number, since it is smaller than the sum of its proper divisors (12026648374272).

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

4611343177728 is an frugal number, since it uses more digits than its factorization.

4611343177728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7810 (or 7772 counting only the distinct ones).

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

The spelling of 4611343177728 in words is "four trillion, six hundred eleven billion, three hundred forty-three million, one hundred seventy-seven thousand, seven hundred twenty-eight".