46688005080 has 768 divisors, whose sum is σ = 174356582400. Its totient is φ = 10776084480.

The previous prime is 46688005079. The next prime is 46688005213. The reversal of 46688005080 is 8050088664.

46688005080 is a `hidden beast` number, since 4 + 6 + 68 + 80 + 0 + 508 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 481319592 + ... + 481319688.

It is an arithmetic number, because the mean of its divisors is an integer number (227026800).

Almost surely, 2^46688005080 is an apocalyptic number.

46688005080 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 46688005080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87178291200).

46688005080 is an abundant number, since it is smaller than the sum of its proper divisors (127668577320).

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

46688005080 is a wasteful number, since it uses less digits than its factorization.

46688005080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 46688005080 in words is "forty-six billion, six hundred eighty-eight million, five thousand, eighty".