47040640708320 has 720 divisors, whose sum is σ = 193207492181088. Its totient is φ = 10747199232000.

The previous prime is 47040640708277. The next prime is 47040640708343. The reversal of 47040640708320 is 2380704604074.

47040640708320 is a `hidden beast` number, since 47 + 0 + 406 + 40 + 70 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1481532445 + ... + 1481564195.

Almost surely, 2^{47040640708320} is an apocalyptic number.

47040640708320 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 47040640708320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96603746090544).

47040640708320 is an abundant number, since it is smaller than the sum of its proper divisors (146166851472768).

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

47040640708320 is a wasteful number, since it uses less digits than its factorization.

47040640708320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34125 (or 34101 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 47040640708320 in words is "forty-seven trillion, forty billion, six hundred forty million, seven hundred eight thousand, three hundred twenty".