74688864 has 48 divisors (see below), whose sum is σ = 197588160. Its totient is φ = 24702080.

The previous prime is 74688863. The next prime is 74688883. The reversal of 74688864 is 46888647.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×74688864² = 11156852811220992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74688863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9607 + ... + 15545.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 2^74688864 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 74688864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

74688864 is an abundant number, since it is smaller than the sum of its proper divisors (122899296).

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

74688864 is a wasteful number, since it uses less digits than its factorization.

74688864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6083 (or 6075 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 74688864 is about 8642.2719235164. The cubic root of 74688864 is about 421.1323637866.

The spelling of 74688864 in words is "seventy-four million, six hundred eighty-eight thousand, eight hundred sixty-four".