47493416880 has 1280 divisors, whose sum is σ = 215919513600. Its totient is φ = 9432723456.

The previous prime is 47493416843. The next prime is 47493416891. The reversal of 47493416880 is 8861439474.

47493416880 is a `hidden beast` number, since 474 + 9 + 3 + 4 + 168 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 302505762 + ... + 302505918.

It is an arithmetic number, because the mean of its divisors is an integer number (168687120).

Almost surely, 2^47493416880 is an apocalyptic number.

47493416880 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 47493416880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107959756800).

47493416880 is an abundant number, since it is smaller than the sum of its proper divisors (168426096720).

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

47493416880 is a wasteful number, since it uses less digits than its factorization.

47493416880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 47493416880 in words is "forty-seven billion, four hundred ninety-three million, four hundred sixteen thousand, eight hundred eighty".