47272420800 has 672 divisors, whose sum is σ = 194116147200. Its totient is φ = 11086848000.

The previous prime is 47272420787. The next prime is 47272420823. The reversal of 47272420800 is 802427274.

47272420800 is a `hidden beast` number, since 472 + 72 + 42 + 0 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14729596 + ... + 14732804.

Almost surely, 2^47272420800 is an apocalyptic number.

47272420800 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 47272420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97058073600).

47272420800 is an abundant number, since it is smaller than the sum of its proper divisors (146843726400).

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

47272420800 is a wasteful number, since it uses less digits than its factorization.

47272420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 47272420800 in words is "forty-seven billion, two hundred seventy-two million, four hundred twenty thousand, eight hundred".