46664700768 has 216 divisors, whose sum is σ = 159349619520. Its totient is φ = 12902561280.

The previous prime is 46664700751. The next prime is 46664700769. The reversal of 46664700768 is 86700746664.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46664700769) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384138 + ... + 490806.

It is an arithmetic number, because the mean of its divisors is an integer number (737729720).

Almost surely, 2^46664700768 is an apocalyptic number.

46664700768 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 46664700768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79674809760).

46664700768 is an abundant number, since it is smaller than the sum of its proper divisors (112684918752).

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

46664700768 is a wasteful number, since it uses less digits than its factorization.

46664700768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106730 (or 106712 counting only the distinct ones).

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

The spelling of 46664700768 in words is "forty-six billion, six hundred sixty-four million, seven hundred thousand, seven hundred sixty-eight".