45642817920 has 320 divisors, whose sum is σ = 169741272240. Its totient is φ = 10431590400.

The previous prime is 45642817877. The next prime is 45642817921. The reversal of 45642817920 is 2971824654.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45642817920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45642817921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4604970 + ... + 4614870.

Almost surely, 2^45642817920 is an apocalyptic number.

45642817920 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 45642817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84870636120).

45642817920 is an abundant number, since it is smaller than the sum of its proper divisors (124098454320).

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

45642817920 is an frugal number, since it uses more digits than its factorization.

45642817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9951 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 45642817920 in words is "forty-five billion, six hundred forty-two million, eight hundred seventeen thousand, nine hundred twenty".