47350411632720 has 1680 divisors, whose sum is σ = 194730449792832. Its totient is φ = 10670622842880.

The previous prime is 47350411632679. The next prime is 47350411632721. The reversal of 47350411632720 is 2723611405374.

It is a happy number.

47350411632720 is a `hidden beast` number, since 4 + 7 + 3 + 5 + 0 + 4 + 1 + 1 + 632 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×47350411632720² (a number of 28 digits) contains 22 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 (47350411632721) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 106885804819 + ... + 106885805261.

Almost surely, 2^{47350411632720} is an apocalyptic number.

47350411632720 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 47350411632720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97365224896416).

47350411632720 is an abundant number, since it is smaller than the sum of its proper divisors (147380038160112).

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

47350411632720 is a wasteful number, since it uses less digits than its factorization.

47350411632720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 47350411632720 in words is "forty-seven trillion, three hundred fifty billion, four hundred eleven million, six hundred thirty-two thousand, seven hundred twenty".