4904629795296 has 288 divisors, whose sum is σ = 17674214777856. Its totient is φ = 1253045376000.

The previous prime is 4904629795291. The next prime is 4904629795297. The reversal of 4904629795296 is 6925979264094.

4904629795296 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 6 + 2 + 97 + 9 + 529 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4904629795291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460120 + ... + 3165591.

It is an arithmetic number, because the mean of its divisors is an integer number (61368801312).

Almost surely, 2^{4904629795296} 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 4904629795296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8837107388928).

4904629795296 is an abundant number, since it is smaller than the sum of its proper divisors (12769584982560).

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

4904629795296 is a wasteful number, since it uses less digits than its factorization.

4904629795296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625806 (or 3625795 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 4904629795296 in words is "four trillion, nine hundred four billion, six hundred twenty-nine million, seven hundred ninety-five thousand, two hundred ninety-six".