4926710027952 has 960 divisors, whose sum is σ = 15985856839680. Its totient is φ = 1463503168512.

The previous prime is 4926710027951. The next prime is 4926710027963. The reversal of 4926710027952 is 2597200176294.

4926710027952 is a `hidden beast` number, since 4 + 9 + 267 + 100 + 279 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4926710027951) 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, 10116447453 + ... + 10116447939.

It is an arithmetic number, because the mean of its divisors is an integer number (16651934208).

Almost surely, 2^{4926710027952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4926710027952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7992928419840).

4926710027952 is an abundant number, since it is smaller than the sum of its proper divisors (11059146811728).

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

4926710027952 is a wasteful number, since it uses less digits than its factorization.

4926710027952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 4926710027952 in words is "four trillion, nine hundred twenty-six billion, seven hundred ten million, twenty-seven thousand, nine hundred fifty-two".