74464565760 has 640 divisors, whose sum is σ = 288731520000. Its totient is φ = 18080464896.

The previous prime is 74464565759. The next prime is 74464565767. The reversal of 74464565760 is 6756546447.

74464565760 is a `hidden beast` number, since 7 + 4 + 4 + 6 + 4 + 565 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 74464565697 and 74464565706.

It is not an unprimeable number, because it can be changed into a prime (74464565767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70985716 + ... + 70986764.

It is an arithmetic number, because the mean of its divisors is an integer number (451143000).

Almost surely, 2^74464565760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74464565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760000).

74464565760 is an abundant number, since it is smaller than the sum of its proper divisors (214266954240).

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

74464565760 is a wasteful number, since it uses less digits than its factorization.

74464565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 74464565760 in words is "seventy-four billion, four hundred sixty-four million, five hundred sixty-five thousand, seven hundred sixty".