74369664 has 112 divisors (see below), whose sum is σ = 222414570. Its totient is φ = 24758784.

The previous prime is 74369657. The next prime is 74369671. The reversal of 74369664 is 46696347.

It is an interprime number because it is at equal distance from previous prime (74369657) and next prime (74369671).

It can be written as a sum of positive squares in only one way, i.e., 63872064 + 10497600 = 7992^2 + 3240^2 .

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 13 ways as a sum of consecutive naturals, for example, 92914 + ... + 93710.

Almost surely, 2^74369664 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 74369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111207285).

74369664 is an abundant number, since it is smaller than the sum of its proper divisors (148044906).

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

74369664 is an frugal number, since it uses more digits than its factorization.

74369664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 802 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 74369664 is about 8623.7847839565. The cubic root of 74369664 is about 420.5315718317.

It can be divided in two parts, 743 and 69664, that added together give a palindrome (70407).

The spelling of 74369664 in words is "seventy-four million, three hundred sixty-nine thousand, six hundred sixty-four".