47668198032 has 720 divisors, whose sum is σ = 182613936960. Its totient is φ = 11898399744.

The previous prime is 47668198031. The next prime is 47668198069. The reversal of 47668198032 is 23089186674.

47668198032 is a `hidden beast` number, since 476 + 6 + 81 + 98 + 0 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 47668198032.

It is not an unprimeable number, because it can be changed into a prime (47668198031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47055958 + ... + 47056970.

It is an arithmetic number, because the mean of its divisors is an integer number (253630468).

Almost surely, 2^47668198032 is an apocalyptic number.

47668198032 is a gapful number since it is divisible by the number (42) 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 47668198032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91306968480).

47668198032 is an abundant number, since it is smaller than the sum of its proper divisors (134945738928).

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

47668198032 is a wasteful number, since it uses less digits than its factorization.

47668198032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1057 counting only the distinct ones).

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

The spelling of 47668198032 in words is "forty-seven billion, six hundred sixty-eight million, one hundred ninety-eight thousand, thirty-two".