45770657760 has 288 divisors, whose sum is σ = 158090849280. Its totient is φ = 12058066944.

The previous prime is 45770657749. The next prime is 45770657767. The reversal of 45770657760 is 6775607754.

45770657760 is a `hidden beast` number, since 4 + 5 + 7 + 7 + 0 + 6 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×45770657760² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45770657697 and 45770657706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45770657767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64556286 + ... + 64556994.

It is an arithmetic number, because the mean of its divisors is an integer number (548926560).

Almost surely, 2^45770657760 is an apocalyptic number.

45770657760 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 45770657760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79045424640).

45770657760 is an abundant number, since it is smaller than the sum of its proper divisors (112320191520).

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

45770657760 is a wasteful number, since it uses less digits than its factorization.

45770657760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 45770657760 in words is "forty-five billion, seven hundred seventy million, six hundred fifty-seven thousand, seven hundred sixty".