46701744768 has 576 divisors, whose sum is σ = 165433881600. Its totient is φ = 12588355584.

The previous prime is 46701744751. The next prime is 46701744799. The reversal of 46701744768 is 86744710764.

46701744768 is a `hidden beast` number, since 467 + 0 + 174 + 4 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76938321 + ... + 76938927.

It is an arithmetic number, because the mean of its divisors is an integer number (287211600).

Almost surely, 2^46701744768 is an apocalyptic number.

46701744768 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 46701744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82716940800).

46701744768 is an abundant number, since it is smaller than the sum of its proper divisors (118732136832).

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

46701744768 is a wasteful number, since it uses less digits than its factorization.

46701744768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 46701744768 in words is "forty-six billion, seven hundred one million, seven hundred forty-four thousand, seven hundred sixty-eight".