7644247680 has 128 divisors (see below), whose sum is σ = 24779390400. Its totient is φ = 2003886080.

The previous prime is 7644247673. The next prime is 7644247697. The reversal of 7644247680 is 867424467.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×7644247680³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79540 + ... + 147020.

Almost surely, 2^7644247680 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 7644247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12389695200).

7644247680 is an abundant number, since it is smaller than the sum of its proper divisors (17135142720).

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

7644247680 is a wasteful number, since it uses less digits than its factorization.

7644247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67562 (or 67550 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The square root of 7644247680 is about 87431.3884140015. The cubic root of 7644247680 is about 1969.9033407014.

The spelling of 7644247680 in words is "seven billion, six hundred forty-four million, two hundred forty-seven thousand, six hundred eighty".