73664864 has 96 divisors (see below), whose sum is σ = 183145536. Its totient is φ = 28385280.

The previous prime is 73664861. The next prime is 73664867. The reversal of 73664864 is 46846637.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73664861) and next prime (73664867).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73664861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119084 + ... + 119700.

It is an arithmetic number, because the mean of its divisors is an integer number (1907766).

Almost surely, 2^73664864 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 73664864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91572768).

73664864 is an abundant number, since it is smaller than the sum of its proper divisors (109480672).

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

73664864 is a wasteful number, since it uses less digits than its factorization.

73664864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its digits is 580608, while the sum is 44.

The square root of 73664864 is about 8582.8237777552. The cubic root of 73664864 is about 419.1988962347.

The spelling of 73664864 in words is "seventy-three million, six hundred sixty-four thousand, eight hundred sixty-four".