46679265360 has 1280 divisors, whose sum is σ = 215986176000. Its totient is φ = 8987811840.

The previous prime is 46679265349. The next prime is 46679265361. The reversal of 46679265360 is 6356297664.

46679265360 is a `hidden beast` number, since 46 + 67 + 9 + 2 + 6 + 536 + 0 = 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 = 46679265297 and 46679265306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46679265361) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 108304345 + ... + 108304775.

It is an arithmetic number, because the mean of its divisors is an integer number (168739200).

Almost surely, 2^46679265360 is an apocalyptic number.

46679265360 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 46679265360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088000).

46679265360 is an abundant number, since it is smaller than the sum of its proper divisors (169306910640).

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

46679265360 is a wasteful number, since it uses less digits than its factorization.

46679265360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 46679265360 in words is "forty-six billion, six hundred seventy-nine million, two hundred sixty-five thousand, three hundred sixty".