4661728521084 has 288 divisors, whose sum is σ = 12909768551680. Its totient is φ = 1469005590528.

The previous prime is 4661728521049. The next prime is 4661728521119. The reversal of 4661728521084 is 4801258271664.

4661728521084 is a `hidden beast` number, since 4 + 6 + 6 + 17 + 28 + 521 + 0 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (4661728521049) and next prime (4661728521119).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4661728521084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298457427 + ... + 298473045.

Almost surely, 2^{4661728521084} 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 4661728521084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454884275840).

4661728521084 is an abundant number, since it is smaller than the sum of its proper divisors (8248040030596).

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

4661728521084 is a wasteful number, since it uses less digits than its factorization.

4661728521084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15911 (or 15897 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 4661728521084 in words is "four trillion, six hundred sixty-one billion, seven hundred twenty-eight million, five hundred twenty-one thousand, eighty-four".