46842626880 has 672 divisors, whose sum is σ = 201302599680. Its totient is φ = 9749790720.

The previous prime is 46842626879. The next prime is 46842626899. The reversal of 46842626880 is 8862624864.

46842626880 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 2 + 626 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

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, 10622116 + ... + 10626524.

It is an arithmetic number, because the mean of its divisors is an integer number (299557440).

Almost surely, 2^46842626880 is an apocalyptic number.

46842626880 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 46842626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100651299840).

46842626880 is an abundant number, since it is smaller than the sum of its proper divisors (154459972800).

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

46842626880 is a wasteful number, since it uses less digits than its factorization.

46842626880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 46842626880 in words is "forty-six billion, eight hundred forty-two million, six hundred twenty-six thousand, eight hundred eighty".