7646782336 has 64 divisors (see below), whose sum is σ = 15554261520. Its totient is φ = 3743281152.

The previous prime is 7646782309. The next prime is 7646782337. The reversal of 7646782336 is 6332876467.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7646782337) 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, 4361236 + ... + 4362988.

Almost surely, 2^7646782336 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 7646782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777130760).

7646782336 is an abundant number, since it is smaller than the sum of its proper divisors (7907479184).

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

7646782336 is a wasteful number, since it uses less digits than its factorization.

7646782336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2451 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 52.

The square root of 7646782336 is about 87445.8823273000. The cubic root of 7646782336 is about 1970.1210414604.

The spelling of 7646782336 in words is "seven billion, six hundred forty-six million, seven hundred eighty-two thousand, three hundred thirty-six".