4792102156800 has 540 divisors, whose sum is σ = 19949570755686. Its totient is φ = 1095336345600.

The previous prime is 4792102156789. The next prime is 4792102156841. The reversal of 4792102156800 is 86512012974.

4792102156800 is a `hidden beast` number, since 4 + 79 + 2 + 10 + 2 + 1 + 568 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3486256591104 + 1305845565696 = 1867152^2 + 1142736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5220330 + ... + 6069270.

Almost surely, 2^{4792102156800} is an apocalyptic number.

4792102156800 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 4792102156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974785377843).

4792102156800 is an abundant number, since it is smaller than the sum of its proper divisors (15157468598886).

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

4792102156800 is a wasteful number, since it uses less digits than its factorization.

4792102156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848989 (or 848958 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 4792102156800 in words is "four trillion, seven hundred ninety-two billion, one hundred two million, one hundred fifty-six thousand, eight hundred".