47760602670 has 416 divisors, whose sum is σ = 151524362880. Its totient is φ = 10713850560.

The previous prime is 47760602641. The next prime is 47760602677. The reversal of 47760602670 is 7620606774.

47760602670 is a `hidden beast` number, since 477 + 60 + 60 + 2 + 67 + 0 = 666.

It is a super-2 number, since 2×47760602670² (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47760602677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 207 ways as a sum of consecutive naturals, for example, 1110711669 + ... + 1110711711.

Almost surely, 2^47760602670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47760602670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75762181440).

47760602670 is an abundant number, since it is smaller than the sum of its proper divisors (103763760210).

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

47760602670 is an equidigital number, since it uses as much as digits as its factorization.

47760602670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 47760602670 in words is "forty-seven billion, seven hundred sixty million, six hundred two thousand, six hundred seventy".