45733680 has 160 divisors (see below), whose sum is σ = 162846720. Its totient is φ = 11784960.

The previous prime is 45733669. The next prime is 45733691. The reversal of 45733680 is 8633754.

It is a happy number.

45733680 is a `hidden beast` number, since 4 + 573 + 3 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (45733669) and next prime (45733691).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66619 + ... + 67301.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 2^45733680 is an apocalyptic number.

45733680 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 45733680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

45733680 is an abundant number, since it is smaller than the sum of its proper divisors (117113040).

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

45733680 is a wasteful number, since it uses less digits than its factorization.

45733680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 45733680 is about 6762.6681125130. The cubic root of 45733680 is about 357.6119720329.

The spelling of 45733680 in words is "forty-five million, seven hundred thirty-three thousand, six hundred eighty".