4705501668780 has 192 divisors, whose sum is σ = 14475572052480. Its totient is φ = 1132619980800.

The previous prime is 4705501668767. The next prime is 4705501668827. The reversal of 4705501668780 is 878661055074.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4705501668780.

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, 78060412 + ... + 78120668.

It is an arithmetic number, because the mean of its divisors is an integer number (75393604440).

Almost surely, 2^{4705501668780} 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 4705501668780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7237786026240).

4705501668780 is an abundant number, since it is smaller than the sum of its proper divisors (9770070383700).

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

4705501668780 is a wasteful number, since it uses less digits than its factorization.

4705501668780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61120 (or 61118 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

It can be divided in two parts, 4705501 and 668780, that added together give a triangular number (5374281 = T₃₂₇₈).

The spelling of 4705501668780 in words is "four trillion, seven hundred five billion, five hundred one million, six hundred sixty-eight thousand, seven hundred eighty".