7366464 has 210 divisors, whose sum is σ = 26277570. Its totient is φ = 2032128.

The previous prime is 7366453. The next prime is 7366477. The reversal of 7366464 is 4646637.

7366464 is a `hidden beast` number, since 7 + 3 + 6 + 646 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 1016064 = 2520^2 + 1008^2 .

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

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 254002 + ... + 254030.

Almost surely, 2^7366464 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 7366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138785).

7366464 is an abundant number, since it is smaller than the sum of its proper divisors (18911106).

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

7366464 is a wasteful number, since it uses less digits than its factorization.

7366464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 7366464 is about 2714.1230627958. The cubic root of 7366464 is about 194.5746943614.

The spelling of 7366464 in words is "seven million, three hundred sixty-six thousand, four hundred sixty-four".