4904556168960 has 1512 divisors, whose sum is σ = 20808395442576. Its totient is φ = 1103619686400.

The previous prime is 4904556168959. The next prime is 4904556168961. The reversal of 4904556168960 is 698616554094.

4904556168960 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 5 + 5 + 616 + 8 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4904556168959) and next prime (4904556168961).

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4904556168961) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3063432160 + ... + 3063433760.

It is an arithmetic number, because the mean of its divisors is an integer number (13762166298).

Almost surely, 2^{4904556168960} is an apocalyptic number.

4904556168960 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 4904556168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10404197721288).

4904556168960 is an abundant number, since it is smaller than the sum of its proper divisors (15903839273616).

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

4904556168960 is an equidigital number, since it uses as much as digits as its factorization.

4904556168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 4904556168960 in words is "four trillion, nine hundred four billion, five hundred fifty-six million, one hundred sixty-eight thousand, nine hundred sixty".