47206575360 has 576 divisors, whose sum is σ = 193837916160. Its totient is φ = 10655539200.

The previous prime is 47206575349. The next prime is 47206575371. The reversal of 47206575360 is 6357560274.

47206575360 is a `hidden beast` number, since 4 + 72 + 0 + 6 + 575 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47206575349) and next prime (47206575371).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 20078185 + ... + 20080535.

It is an arithmetic number, because the mean of its divisors is an integer number (336524160).

Almost surely, 2^47206575360 is an apocalyptic number.

47206575360 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 47206575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96918958080).

47206575360 is an abundant number, since it is smaller than the sum of its proper divisors (146631340800).

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

47206575360 is a wasteful number, since it uses less digits than its factorization.

47206575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 47206575360 in words is "forty-seven billion, two hundred six million, five hundred seventy-five thousand, three hundred sixty".