7639375680 has 336 divisors, whose sum is σ = 28857366720. Its totient is φ = 1917001728.

The previous prime is 7639375673. The next prime is 7639375691. The reversal of 7639375680 is 865739367.

7639375680 is a `hidden beast` number, since 76 + 3 + 9 + 3 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1319031 + ... + 1324809.

It is an arithmetic number, because the mean of its divisors is an integer number (85885020).

Almost surely, 2^7639375680 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 7639375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14428683360).

7639375680 is an abundant number, since it is smaller than the sum of its proper divisors (21217991040).

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

7639375680 is a wasteful number, since it uses less digits than its factorization.

7639375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 7639375680 is about 87403.5221258274. The cubic root of 7639375680 is about 1969.4847510579.

The spelling of 7639375680 in words is "seven billion, six hundred thirty-nine million, three hundred seventy-five thousand, six hundred eighty".