4995969269760 has 3360 divisors, whose sum is σ = 23517122307840. Its totient is φ = 990677827584.

The previous prime is 4995969269729. The next prime is 4995969269843. The reversal of 4995969269760 is 679629695994.

4995969269760 is a `hidden beast` number, since 499 + 5 + 9 + 6 + 9 + 2 + 69 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 4995969269760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 135026196462 + ... + 135026196498.

It is an arithmetic number, because the mean of its divisors is an integer number (6999143544).

Almost surely, 2^{4995969269760} is an apocalyptic number.

4995969269760 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 4995969269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11758561153920).

4995969269760 is an abundant number, since it is smaller than the sum of its proper divisors (18521153038080).

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

4995969269760 is an equidigital number, since it uses as much as digits as its factorization.

4995969269760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3571283520, while the sum is 81.

The spelling of 4995969269760 in words is "four trillion, nine hundred ninety-five billion, nine hundred sixty-nine million, two hundred sixty-nine thousand, seven hundred sixty".