45006762240 has 1440 divisors, whose sum is σ = 193743728640. Its totient is φ = 9853747200.

The previous prime is 45006762191. The next prime is 45006762247. The reversal of 45006762240 is 4226760054.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45006762195 and 45006762204.

It is not an unprimeable number, because it can be changed into a prime (45006762247) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 671742687 + ... + 671742753.

It is an arithmetic number, because the mean of its divisors is an integer number (134544256).

Almost surely, 2^45006762240 is an apocalyptic number.

45006762240 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 45006762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96871864320).

45006762240 is an abundant number, since it is smaller than the sum of its proper divisors (148736966400).

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

45006762240 is a wasteful number, since it uses less digits than its factorization.

45006762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 45006762240 in words is "forty-five billion, six million, seven hundred sixty-two thousand, two hundred forty".