45770728960 has 160 divisors (see below), whose sum is σ = 119973249792. Its totient is φ = 16608583680.

The previous prime is 45770728919. The next prime is 45770728961. The reversal of 45770728960 is 6982707754.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45770728961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15852637 + ... + 15855523.

Almost surely, 2^45770728960 is an apocalyptic number.

45770728960 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 45770728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59986624896).

45770728960 is an abundant number, since it is smaller than the sum of its proper divisors (74202520832).

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

45770728960 is a wasteful number, since it uses less digits than its factorization.

45770728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 45770728960 in words is "forty-five billion, seven hundred seventy million, seven hundred twenty-eight thousand, nine hundred sixty".