47834311680 has 528 divisors, whose sum is σ = 176922701280. Its totient is φ = 11908153344.

The previous prime is 47834311649. The next prime is 47834311883. The reversal of 47834311680 is 8611343874.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 177822586 + ... + 177822854.

Almost surely, 2^47834311680 is an apocalyptic number.

47834311680 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 47834311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88461350640).

47834311680 is an abundant number, since it is smaller than the sum of its proper divisors (129088389600).

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

47834311680 is a wasteful number, since it uses less digits than its factorization.

47834311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 47834311680 in words is "forty-seven billion, eight hundred thirty-four million, three hundred eleven thousand, six hundred eighty".