45420827760 has 1600 divisors, whose sum is σ = 211045063680. Its totient is φ = 8778792960.

The previous prime is 45420827707. The next prime is 45420827779. The reversal of 45420827760 is 6772802454.

It is a happy number.

It is a super-3 number, since 3×45420827760³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 622203084 + ... + 622203156.

Almost surely, 2^45420827760 is an apocalyptic number.

45420827760 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 45420827760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105522531840).

45420827760 is an abundant number, since it is smaller than the sum of its proper divisors (165624235920).

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

45420827760 is a wasteful number, since it uses less digits than its factorization.

45420827760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 45420827760 in words is "forty-five billion, four hundred twenty million, eight hundred twenty-seven thousand, seven hundred sixty".