46726672608 has 576 divisors, whose sum is σ = 173939996160. Its totient is φ = 11943106560.

The previous prime is 46726672607. The next prime is 46726672627. The reversal of 46726672608 is 80627662764.

46726672608 is a `hidden beast` number, since 4 + 6 + 7 + 26 + 6 + 7 + 2 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46726672607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49030660 + ... + 49031612.

It is an arithmetic number, because the mean of its divisors is an integer number (301979160).

Almost surely, 2^46726672608 is an apocalyptic number.

46726672608 is a gapful number since it is divisible by the number (48) 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 46726672608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86969998080).

46726672608 is an abundant number, since it is smaller than the sum of its proper divisors (127213323552).

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

46726672608 is a wasteful number, since it uses less digits than its factorization.

46726672608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 46726672608 in words is "forty-six billion, seven hundred twenty-six million, six hundred seventy-two thousand, six hundred eight".