74667264 has 288 divisors, whose sum is σ = 259015680. Its totient is φ = 18579456.

The previous prime is 74667259. The next prime is 74667277. The reversal of 74667264 is 46276647.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1736427 + ... + 1736469.

It is an arithmetic number, because the mean of its divisors is an integer number (899360).

Almost surely, 2^74667264 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 74667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129507840).

74667264 is an abundant number, since it is smaller than the sum of its proper divisors (184348416).

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

74667264 is a wasteful number, since it uses less digits than its factorization.

74667264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 74667264 is about 8641.0221617584. The cubic root of 74667264 is about 421.0917627491.

The spelling of 74667264 in words is "seventy-four million, six hundred sixty-seven thousand, two hundred sixty-four".