47723270400 has 1296 divisors, whose sum is σ = 204259176576. Its totient is φ = 10510663680.

The previous prime is 47723270393. The next prime is 47723270401. The reversal of 47723270400 is 407232774.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47723270401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 292780719 + ... + 292780881.

Almost surely, 2^47723270400 is an apocalyptic number.

47723270400 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 47723270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102129588288).

47723270400 is an abundant number, since it is smaller than the sum of its proper divisors (156535906176).

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

47723270400 is a wasteful number, since it uses less digits than its factorization.

47723270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The spelling of 47723270400 in words is "forty-seven billion, seven hundred twenty-three million, two hundred seventy thousand, four hundred".