45675607680 has 192 divisors, whose sum is σ = 161080358400. Its totient is φ = 11920939008.

The previous prime is 45675607673. The next prime is 45675607687. The reversal of 45675607680 is 8670657654.

45675607680 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 560 + 76 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45675607673) and next prime (45675607687).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×45675607680³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (45675607687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186361 + ... + 355079.

It is an arithmetic number, because the mean of its divisors is an integer number (838960200).

Almost surely, 2^45675607680 is an apocalyptic number.

45675607680 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 45675607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80540179200).

45675607680 is an abundant number, since it is smaller than the sum of its proper divisors (115404750720).

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

45675607680 is a wasteful number, since it uses less digits than its factorization.

45675607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168791 (or 168776 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 45675607680 in words is "forty-five billion, six hundred seventy-five million, six hundred seven thousand, six hundred eighty".