4952666993760 has 240 divisors, whose sum is σ = 17538455276496. Its totient is φ = 1316202642432.

The previous prime is 4952666993723. The next prime is 4952666993779. The reversal of 4952666993760 is 673996662594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3145147 + ... + 4449413.

Almost surely, 2^{4952666993760} is an apocalyptic number.

4952666993760 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 4952666993760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769227638248).

4952666993760 is an abundant number, since it is smaller than the sum of its proper divisors (12585788282736).

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

4952666993760 is a wasteful number, since it uses less digits than its factorization.

4952666993760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304587 (or 1304570 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 72.

The spelling of 4952666993760 in words is "four trillion, nine hundred fifty-two billion, six hundred sixty-six million, nine hundred ninety-three thousand, seven hundred sixty".