46875166560 has 672 divisors, whose sum is σ = 175983772608. Its totient is φ = 11769753600.

The previous prime is 46875166553. The next prime is 46875166571. The reversal of 46875166560 is 6566157864.

46875166560 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 516 + 65 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 46875166497 and 46875166506.

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 111 ways as a sum of consecutive naturals, for example, 270954634 + ... + 270954806.

It is an arithmetic number, because the mean of its divisors is an integer number (261880614).

Almost surely, 2^46875166560 is an apocalyptic number.

46875166560 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 46875166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87991886304).

46875166560 is an abundant number, since it is smaller than the sum of its proper divisors (129108606048).

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

46875166560 is a wasteful number, since it uses less digits than its factorization.

46875166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 46875166560 in words is "forty-six billion, eight hundred seventy-five million, one hundred sixty-six thousand, five hundred sixty".