46265576760 has 672 divisors, whose sum is σ = 175045086720. Its totient is φ = 10934300160.

The previous prime is 46265576743. The next prime is 46265576761. The reversal of 46265576760 is 6767556264.

46265576760 is a `hidden beast` number, since 4 + 6 + 2 + 6 + 5 + 576 + 7 + 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 = 46265576697 and 46265576706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46265576761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 364295817 + ... + 364295943.

It is an arithmetic number, because the mean of its divisors is an integer number (260483760).

Almost surely, 2^46265576760 is an apocalyptic number.

46265576760 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 46265576760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87522543360).

46265576760 is an abundant number, since it is smaller than the sum of its proper divisors (128779509960).

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

46265576760 is a wasteful number, since it uses less digits than its factorization.

46265576760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 46265576760 in words is "forty-six billion, two hundred sixty-five million, five hundred seventy-six thousand, seven hundred sixty".