47551680 has 336 divisors, whose sum is σ = 190195200. Its totient is φ = 10782720.

The previous prime is 47551667. The next prime is 47551681. The reversal of 47551680 is 8615574.

47551680 is a `hidden beast` number, since 47 + 551 + 68 + 0 = 666.

It is a super-2 number, since 2×47551680² = 4522324541644800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47551681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601881 + ... + 601959.

Almost surely, 2^47551680 is an apocalyptic number.

47551680 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 47551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95097600).

47551680 is an abundant number, since it is smaller than the sum of its proper divisors (142643520).

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

47551680 is a wasteful number, since it uses less digits than its factorization.

47551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 47551680 is about 6895.7726180610. The cubic root of 47551680 is about 362.2891171375.

The spelling of 47551680 in words is "forty-seven million, five hundred fifty-one thousand, six hundred eighty".