46758768 has 80 divisors (see below), whose sum is σ = 138800640. Its totient is φ = 13287168.

The previous prime is 46758743. The next prime is 46758779. The reversal of 46758768 is 86785764.

Its product of digits (2257920) is a multiple of the sum of its prime divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 46758768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106293 + ... + 106731.

It is an arithmetic number, because the mean of its divisors is an integer number (1735008).

Almost surely, 2^46758768 is an apocalyptic number.

46758768 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 46758768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69400320).

46758768 is an abundant number, since it is smaller than the sum of its proper divisors (92041872).

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

46758768 is a wasteful number, since it uses less digits than its factorization.

46758768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 768 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 46758768 is about 6838.0383151895. The cubic root of 46758768 is about 360.2641271537.

The spelling of 46758768 in words is "forty-six million, seven hundred fifty-eight thousand, seven hundred sixty-eight".