7646427360 has 576 divisors, whose sum is σ = 31146425856. Its totient is φ = 1683763200.

The previous prime is 7646427319. The next prime is 7646427367. The reversal of 7646427360 is 637246467.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7646427367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14620059 + ... + 14620581.

It is an arithmetic number, because the mean of its divisors is an integer number (54073656).

Almost surely, 2^7646427360 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 7646427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573212928).

7646427360 is an abundant number, since it is smaller than the sum of its proper divisors (23499998496).

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

7646427360 is a wasteful number, since it uses less digits than its factorization.

7646427360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 7646427360 is about 87443.8526141203. The cubic root of 7646427360 is about 1970.0905555872.

The spelling of 7646427360 in words is "seven billion, six hundred forty-six million, four hundred twenty-seven thousand, three hundred sixty".