45278069760 has 792 divisors, whose sum is σ = 199201856256. Its totient is φ = 9403269120.

The previous prime is 45278069741. The next prime is 45278069827. The reversal of 45278069760 is 6796087254.

45278069760 is a `hidden beast` number, since 452 + 78 + 0 + 69 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a junction number, because it is equal to n+sod(n) for n = 45278069697 and 45278069706.

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, 24836209 + ... + 24838031.

Almost surely, 2^45278069760 is an apocalyptic number.

45278069760 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 45278069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99600928128).

45278069760 is an abundant number, since it is smaller than the sum of its proper divisors (153923786496).

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

45278069760 is a wasteful number, since it uses less digits than its factorization.

45278069760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 45278069760 in words is "forty-five billion, two hundred seventy-eight million, sixty-nine thousand, seven hundred sixty".