47508642720 has 768 divisors, whose sum is σ = 218250547200. Its totient is φ = 9351106560.

The previous prime is 47508642707. The next prime is 47508642733. The reversal of 47508642720 is 2724680574.

It is a happy number.

47508642720 is a `hidden beast` number, since 47 + 508 + 64 + 27 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (47508642707) and next prime (47508642733).

It is a super-2 number, since 2×47508642720² (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 an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 6316402 + ... + 6323918.

It is an arithmetic number, because the mean of its divisors is an integer number (284180400).

Almost surely, 2^47508642720 is an apocalyptic number.

47508642720 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 47508642720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109125273600).

47508642720 is an abundant number, since it is smaller than the sum of its proper divisors (170741904480).

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

47508642720 is a wasteful number, since it uses less digits than its factorization.

47508642720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 47508642720 in words is "forty-seven billion, five hundred eight million, six hundred forty-two thousand, seven hundred twenty".