46682590080 has 384 divisors, whose sum is σ = 173828367360. Its totient is φ = 10625126400.

The previous prime is 46682590079. The next prime is 46682590103. The reversal of 46682590080 is 8009528664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25494765 + ... + 25496595.

It is an arithmetic number, because the mean of its divisors is an integer number (452678040).

Almost surely, 2^46682590080 is an apocalyptic number.

46682590080 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 46682590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86914183680).

46682590080 is an abundant number, since it is smaller than the sum of its proper divisors (127145777280).

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

46682590080 is a wasteful number, since it uses less digits than its factorization.

46682590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 46682590080 in words is "forty-six billion, six hundred eighty-two million, five hundred ninety thousand, eighty".