47291438335680 has 672 divisors, whose sum is σ = 202875445513728. Its totient is φ = 9823157452800.

The previous prime is 47291438335679. The next prime is 47291438335727. The reversal of 47291438335680 is 8653383419274.

It is a happy number.

47291438335680 is a `hidden beast` number, since 4 + 7 + 2 + 9 + 1 + 4 + 38 + 33 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×47291438335680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 621555240 + ... + 621631320.

It is a 2-persistent number, because it is pandigital, and so is 2⋅47291438335680 = 94582876671360, but 3⋅47291438335680 = 141874315007040 is not.

Almost surely, 2^{47291438335680} is an apocalyptic number.

47291438335680 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 47291438335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101437722756864).

47291438335680 is an abundant number, since it is smaller than the sum of its proper divisors (155584007178048).

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

47291438335680 is a wasteful number, since it uses less digits than its factorization.

47291438335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78925 (or 78912 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 47291438335680 in words is "forty-seven trillion, two hundred ninety-one billion, four hundred thirty-eight million, three hundred thirty-five thousand, six hundred eighty".