4964586888960 has 1296 divisors, whose sum is σ = 19508961090528. Its totient is φ = 1204585758720.

The previous prime is 4964586888923. The next prime is 4964586889001. The reversal of 4964586888960 is 698886854694.

4964586888960 is a `hidden beast` number, since 4 + 9 + 6 + 458 + 6 + 88 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 4964586888960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5081459992 + ... + 5081460968.

It is an arithmetic number, because the mean of its divisors is an integer number (15053210718).

Almost surely, 2^{4964586888960} is an apocalyptic number.

4964586888960 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 4964586888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9754480545264).

4964586888960 is an abundant number, since it is smaller than the sum of its proper divisors (14544374201568).

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

4964586888960 is an equidigital number, since it uses as much as digits as its factorization.

4964586888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 5733089280, while the sum is 81.

The spelling of 4964586888960 in words is "four trillion, nine hundred sixty-four billion, five hundred eighty-six million, eight hundred eighty-eight thousand, nine hundred sixty".