46590768000 has 1536 divisors, whose sum is σ = 208969113600. Its totient is φ = 10160640000.

The previous prime is 46590767893. The next prime is 46590768011. The reversal of 46590768000 is 86709564.

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, 656207965 + ... + 656208035.

It is an arithmetic number, because the mean of its divisors is an integer number (136047600).

Almost surely, 2^46590768000 is an apocalyptic number.

46590768000 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 46590768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104484556800).

46590768000 is an abundant number, since it is smaller than the sum of its proper divisors (162378345600).

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

46590768000 is a wasteful number, since it uses less digits than its factorization.

46590768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 46590768000 in words is "forty-six billion, five hundred ninety million, seven hundred sixty-eight thousand".