47904670542400 has 567 divisors, whose sum is σ = 144828416842587. Its totient is φ = 15548053248000.

The previous prime is 47904670542331. The next prime is 47904670542413. The reversal of 47904670542400 is 424507640974.

The square root of 47904670542400 is 6921320.

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

47904670542400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28836985920064 + 19067684622336 = 5370008^2 + 4366656^2 .

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 80 ways as a sum of consecutive naturals, for example, 36821421750 + ... + 36821423050.

Almost surely, 2^{47904670542400} is an apocalyptic number.

47904670542400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47904670542400 is the 6921320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47904670542400

47904670542400 is an abundant number, since it is smaller than the sum of its proper divisors (96923746300187).

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

47904670542400 is an equidigital number, since it uses as much as digits as its factorization.

47904670542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 47904670542400 in words is "forty-seven trillion, nine hundred four billion, six hundred seventy million, five hundred forty-two thousand, four hundred".