4991761520640 has 864 divisors, whose sum is σ = 18938695361040. Its totient is φ = 1260849659904.

The previous prime is 4991761520609. The next prime is 4991761520651. The reversal of 4991761520640 is 460251671994.

4991761520640 is a `hidden beast` number, since 4 + 9 + 9 + 1 + 76 + 1 + 520 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 898280742 + ... + 898286298.

Almost surely, 2^{4991761520640} is an apocalyptic number.

4991761520640 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 4991761520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9469347680520).

4991761520640 is an abundant number, since it is smaller than the sum of its proper divisors (13946933840400).

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

4991761520640 is an equidigital number, since it uses as much as digits as its factorization.

4991761520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 4991761520640 in words is "four trillion, nine hundred ninety-one billion, seven hundred sixty-one million, five hundred twenty thousand, six hundred forty".