4660048039680 has 360 divisors, whose sum is σ = 18190372528944. Its totient is φ = 1129708339200.

The previous prime is 4660048039609. The next prime is 4660048039711. The reversal of 4660048039680 is 869308400664.

4660048039680 is a `hidden beast` number, since 46 + 60 + 0 + 4 + 80 + 396 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 902541 + ... + 3183500.

Almost surely, 2^{4660048039680} is an apocalyptic number.

4660048039680 is a gapful number since it is divisible by the number (40) 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 4660048039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9095186264472).

4660048039680 is an abundant number, since it is smaller than the sum of its proper divisors (13530324489264).

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

4660048039680 is a wasteful number, since it uses less digits than its factorization.

4660048039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086085 (or 4086062 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 4660048039680 in words is "four trillion, six hundred sixty billion, forty-eight million, thirty-nine thousand, six hundred eighty".