45751680 has 288 divisors, whose sum is σ = 174713760. Its totient is φ = 11022336.

The previous prime is 45751679. The next prime is 45751697. The reversal of 45751680 is 8615754.

45751680 is a `hidden beast` number, since 4 + 575 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 973417 + ... + 973463.

It is an arithmetic number, because the mean of its divisors is an integer number (606645).

Almost surely, 2^45751680 is an apocalyptic number.

45751680 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 45751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87356880).

45751680 is an abundant number, since it is smaller than the sum of its proper divisors (128962080).

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

45751680 is a wasteful number, since it uses less digits than its factorization.

45751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 45751680 is about 6763.9988172678. The cubic root of 45751680 is about 357.6588825459.

The spelling of 45751680 in words is "forty-five million, seven hundred fifty-one thousand, six hundred eighty".