47342776320 has 832 divisors, whose sum is σ = 196017838080. Its totient is φ = 10749542400.

The previous prime is 47342776289. The next prime is 47342776321. The reversal of 47342776320 is 2367724374.

47342776320 is a `hidden beast` number, since 4 + 7 + 3 + 4 + 2 + 7 + 7 + 632 + 0 = 666.

It is a super-3 number, since 3×47342776320³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47342776321) 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 63 ways as a sum of consecutive naturals, for example, 313528245 + ... + 313528395.

Almost surely, 2^47342776320 is an apocalyptic number.

47342776320 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 47342776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98008919040).

47342776320 is an abundant number, since it is smaller than the sum of its proper divisors (148675061760).

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

47342776320 is an frugal number, since it uses more digits than its factorization.

47342776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 47342776320 in words is "forty-seven billion, three hundred forty-two million, seven hundred seventy-six thousand, three hundred twenty".