73644480 has 336 divisors, whose sum is σ = 312871104. Its totient is φ = 15482880.

The previous prime is 73644469. The next prime is 73644481. The reversal of 73644480 is 8444637.

73644480 is a `hidden beast` number, since 7 + 3 + 644 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73644481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261940 + ... + 262220.

It is an arithmetic number, because the mean of its divisors is an integer number (931164).

Almost surely, 2^73644480 is an apocalyptic number.

73644480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156435552).

73644480 is an abundant number, since it is smaller than the sum of its proper divisors (239226624).

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

73644480 is a wasteful number, since it uses less digits than its factorization.

73644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 73644480 is about 8581.6362076238. The cubic root of 73644480 is about 419.1602267880.

The spelling of 73644480 in words is "seventy-three million, six hundred forty-four thousand, four hundred eighty".