47034224640 has 624 divisors, whose sum is σ = 182326155648. Its totient is φ = 11561730048.

The previous prime is 47034224623. The next prime is 47034224659. The reversal of 47034224640 is 4642243074.

47034224640 is a `hidden beast` number, since 4 + 7 + 0 + 3 + 4 + 2 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47034224595 and 47034224604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64695957 + ... + 64696683.

It is an arithmetic number, because the mean of its divisors is an integer number (292189352).

Almost surely, 2^47034224640 is an apocalyptic number.

47034224640 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 47034224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91163077824).

47034224640 is an abundant number, since it is smaller than the sum of its proper divisors (135291931008).

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

47034224640 is an equidigital number, since it uses as much as digits as its factorization.

47034224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 47034224640 in words is "forty-seven billion, thirty-four million, two hundred twenty-four thousand, six hundred forty".