7646464 has 72 divisors (see below), whose sum is σ = 18543168. Its totient is φ = 3072000.

The previous prime is 7646461. The next prime is 7646473. The reversal of 7646464 is 4646467.

7646464 = T₁₂₅ + T₁₂₆ + ... + T₃₆₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7646461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30339 + ... + 30589.

It is an arithmetic number, because the mean of its divisors is an integer number (257544).

Almost surely, 2^7646464 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 7646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9271584).

7646464 is an abundant number, since it is smaller than the sum of its proper divisors (10896704).

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

7646464 is a wasteful number, since it uses less digits than its factorization.

7646464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

The square root of 7646464 is about 2765.2240415561. The cubic root of 7646464 is about 197.0093702329.

The spelling of 7646464 in words is "seven million, six hundred forty-six thousand, four hundred sixty-four".