46905769280 has 112 divisors (see below), whose sum is σ = 115651117440. Its totient is φ = 18098841600.

The previous prime is 46905769259. The next prime is 46905769289. The reversal of 46905769280 is 8296750964.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46905769289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16804685 + ... + 16807475.

Almost surely, 2^46905769280 is an apocalyptic number.

46905769280 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 46905769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57825558720).

46905769280 is an abundant number, since it is smaller than the sum of its proper divisors (68745348160).

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

46905769280 is a wasteful number, since it uses less digits than its factorization.

46905769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 46905769280 in words is "forty-six billion, nine hundred five million, seven hundred sixty-nine thousand, two hundred eighty".