47926831680 has 1008 divisors, whose sum is σ = 211966844544. Its totient is φ = 10092625920.

The previous prime is 47926831661. The next prime is 47926831691. The reversal of 47926831680 is 8613862974.

47926831680 is a `hidden beast` number, since 479 + 2 + 6 + 8 + 3 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91989820 + ... + 91990340.

It is an arithmetic number, because the mean of its divisors is an integer number (210284568).

Almost surely, 2^47926831680 is an apocalyptic number.

47926831680 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 47926831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105983422272).

47926831680 is an abundant number, since it is smaller than the sum of its proper divisors (164040012864).

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

47926831680 is a wasteful number, since it uses less digits than its factorization.

47926831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 47926831680 in words is "forty-seven billion, nine hundred twenty-six million, eight hundred thirty-one thousand, six hundred eighty".