45342535680 has 624 divisors, whose sum is σ = 171735782400. Its totient is φ = 10999037952.

The previous prime is 45342535663. The next prime is 45342535687. The reversal of 45342535680 is 8653524354.

45342535680 is a `hidden beast` number, since 4 + 5 + 34 + 2 + 53 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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 (45342535687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304312246 + ... + 304312394.

It is an arithmetic number, because the mean of its divisors is an integer number (275217600).

Almost surely, 2^45342535680 is an apocalyptic number.

45342535680 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 45342535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85867891200).

45342535680 is an abundant number, since it is smaller than the sum of its proper divisors (126393246720).

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

45342535680 is a wasteful number, since it uses less digits than its factorization.

45342535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 45342535680 in words is "forty-five billion, three hundred forty-two million, five hundred thirty-five thousand, six hundred eighty".