47679305084208 has 320 divisors, whose sum is σ = 159777499299840. Its totient is φ = 13329362592000.

The previous prime is 47679305084179. The next prime is 47679305084237. The reversal of 47679305084208 is 80248050397674.

47679305084208 is a `hidden beast` number, since 4 + 7 + 6 + 79 + 30 + 508 + 4 + 20 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (47679305084179) and next prime (47679305084237).

It is a super-2 number, since 2×47679305084208² (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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 575719123 + ... + 575801933.

It is an arithmetic number, because the mean of its divisors is an integer number (499304685312).

Almost surely, 2^{47679305084208} is an apocalyptic number.

47679305084208 is a gapful number since it is divisible by the number (48) 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 47679305084208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79888749649920).

47679305084208 is an abundant number, since it is smaller than the sum of its proper divisors (112098194215632).

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

47679305084208 is a wasteful number, since it uses less digits than its factorization.

47679305084208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86933 (or 86921 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 47679305084208 in words is "forty-seven trillion, six hundred seventy-nine billion, three hundred five million, eighty-four thousand, two hundred eight".