45595630080 has 1280 divisors, whose sum is σ = 217786060800. Its totient is φ = 8732344320.

The previous prime is 45595630061. The next prime is 45595630081. The reversal of 45595630080 is 8003659554.

45595630080 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 5 + 630 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×45595630080² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45595630081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69188791 + ... + 69189449.

It is an arithmetic number, because the mean of its divisors is an integer number (170145360).

Almost surely, 2^45595630080 is an apocalyptic number.

45595630080 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 45595630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108893030400).

45595630080 is an abundant number, since it is smaller than the sum of its proper divisors (172190430720).

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

45595630080 is a wasteful number, since it uses less digits than its factorization.

45595630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 45595630080 in words is "forty-five billion, five hundred ninety-five million, six hundred thirty thousand, eighty".