4964189146560 has 1344 divisors, whose sum is σ = 21799473905664. Its totient is φ = 1050245222400.

The previous prime is 4964189146453. The next prime is 4964189146561. The reversal of 4964189146560 is 656419814694.

It is a happy number.

4964189146560 is a `hidden beast` number, since 4 + 9 + 64 + 1 + 8 + 9 + 1 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (4964189146561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 388093765 + ... + 388106555.

It is an arithmetic number, because the mean of its divisors is an integer number (16219846656).

Almost surely, 2^{4964189146560} is an apocalyptic number.

4964189146560 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 4964189146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10899736952832).

4964189146560 is an abundant number, since it is smaller than the sum of its proper divisors (16835284759104).

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

4964189146560 is a wasteful number, since it uses less digits than its factorization.

4964189146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12884 (or 12862 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 4964189146560 in words is "four trillion, nine hundred sixty-four billion, one hundred eighty-nine million, one hundred forty-six thousand, five hundred sixty".