4792841625600 has 2520 divisors, whose sum is σ = 21679696640520. Its totient is φ = 1037848412160.

The previous prime is 4792841625599. The next prime is 4792841625613. The reversal of 4792841625600 is 65261482974.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4792841625600 is a `hidden beast` number, since 4 + 7 + 9 + 2 + 8 + 4 + 1 + 6 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 252254822391 + ... + 252254822409.

Almost surely, 2^{4792841625600} is an apocalyptic number.

4792841625600 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 4792841625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10839848320260).

4792841625600 is an abundant number, since it is smaller than the sum of its proper divisors (16886855014920).

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

4792841625600 is an frugal number, since it uses more digits than its factorization.

4792841625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

Multiplying 4792841625600 by its sum of digits (54), we get a square (258813447782400 = 16087680²).

4792841625600 divided by its sum of digits (54) gives a square (88756326400 = 297920²).

The spelling of 4792841625600 in words is "four trillion, seven hundred ninety-two billion, eight hundred forty-one million, six hundred twenty-five thousand, six hundred".