6736464 has 120 divisors (see below), whose sum is σ = 22206912. Its totient is φ = 1866240.

The previous prime is 6736453. The next prime is 6736481. The reversal of 6736464 is 4646376.

6736464 is a `hidden beast` number, since 6 + 7 + 3 + 646 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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.

Its product of digits (72576) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41247 + ... + 41409.

Almost surely, 2^6736464 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 6736464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11103456).

6736464 is an abundant number, since it is smaller than the sum of its proper divisors (15470448).

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

6736464 is a wasteful number, since it uses less digits than its factorization.

6736464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

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

The square root of 6736464 is about 2595.4698996521. The cubic root of 6736464 is about 188.8617448628.

The spelling of 6736464 in words is "six million, seven hundred thirty-six thousand, four hundred sixty-four".