4792684208400 has 1215 divisors, whose sum is σ = 19068333662469. Its totient is φ = 1113875136000.

The previous prime is 4792684208383. The next prime is 4792684208423. The reversal of 4792684208400 is 48024862974.

The square root of 4792684208400 is 2189220.

It is a perfect power (a square), and thus also a powerful number.

4792684208400 is a `hidden beast` number, since 4 + 7 + 9 + 26 + 8 + 4 + 208 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1725366315024 + 3067317893376 = 1313532^2 + 1751376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 44791441147 + ... + 44791441253.

Almost surely, 2^{4792684208400} is an apocalyptic number.

4792684208400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4792684208400 is the 2189220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4792684208400

4792684208400 is an abundant number, since it is smaller than the sum of its proper divisors (14275649454069).

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

4792684208400 is a wasteful number, since it uses less digits than its factorization.

4792684208400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 4792684208400 in words is "four trillion, seven hundred ninety-two billion, six hundred eighty-four million, two hundred eight thousand, four hundred".