4792951328256 has 1920 divisors, whose sum is σ = 18746100172800. Its totient is φ = 1143751311360.

The previous prime is 4792951328251. The next prime is 4792951328287. The reversal of 4792951328256 is 6528231592974.

4792951328256 is a `hidden beast` number, since 4 + 7 + 9 + 2 + 9 + 51 + 328 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (65318400) is a multiple of the sum of its prime factors (400).

It is a junction number, because it is equal to n+sod(n) for n = 4792951328193 and 4792951328202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4792951328251) 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, 20929918350 + ... + 20929918578.

It is an arithmetic number, because the mean of its divisors is an integer number (9763593840).

Almost surely, 2^{4792951328256} 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 4792951328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9373050086400).

4792951328256 is an abundant number, since it is smaller than the sum of its proper divisors (13953148844544).

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

4792951328256 is a wasteful number, since it uses less digits than its factorization.

4792951328256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 381 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 4792951328256 in words is "four trillion, seven hundred ninety-two billion, nine hundred fifty-one million, three hundred twenty-eight thousand, two hundred fifty-six".