4074694560 has 288 divisors, whose sum is σ = 14747346432. Its totient is φ = 1022699520.

The previous prime is 4074694549. The next prime is 4074694601. The reversal of 4074694560 is 654964704.

4074694560 is a `hidden beast` number, since 40 + 7 + 46 + 9 + 4 + 560 = 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1650447 + ... + 1652913.

It is an arithmetic number, because the mean of its divisors is an integer number (51206064).

Almost surely, 2^4074694560 is an apocalyptic number.

4074694560 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 4074694560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373673216).

4074694560 is an abundant number, since it is smaller than the sum of its proper divisors (10672651872).

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

4074694560 is a wasteful number, since it uses less digits than its factorization.

4074694560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4074694560 is about 63833.3342384682. The cubic root of 4074694560 is about 1597.2210302907.

The spelling of 4074694560 in words is "four billion, seventy-four million, six hundred ninety-four thousand, five hundred sixty".