47322954751680 has 896 divisors, whose sum is σ = 175062772454400. Its totient is φ = 12168347627520.

The previous prime is 47322954751661. The next prime is 47322954751687. The reversal of 47322954751680 is 8615745922374.

It is a happy number.

47322954751680 is a `hidden beast` number, since 4 + 7 + 3 + 2 + 2 + 9 + 547 + 5 + 1 + 6 + 80 = 666.

It is a super-4 number, since 4×47322954751680⁴ (a number of 56 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (47322954751687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30909832515 + ... + 30909834045.

It is a 1-persistent number, because it is pandigital, but 2⋅47322954751680 = 94645909503360 is not.

Almost surely, 2^{47322954751680} is an apocalyptic number.

47322954751680 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 47322954751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87531386227200).

47322954751680 is an abundant number, since it is smaller than the sum of its proper divisors (127739817702720).

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

47322954751680 is a wasteful number, since it uses less digits than its factorization.

47322954751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 47322954751680 in words is "forty-seven trillion, three hundred twenty-two billion, nine hundred fifty-four million, seven hundred fifty-one thousand, six hundred eighty".