7642643580 has 288 divisors, whose sum is σ = 27525371328. Its totient is φ = 1692057600.

The previous prime is 7642643549. The next prime is 7642643597. The reversal of 7642643580 is 853462467.

7642643580 is a `hidden beast` number, since 7 + 6 + 4 + 2 + 64 + 3 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2495250 + ... + 2498310.

It is an arithmetic number, because the mean of its divisors is an integer number (95574206).

Almost surely, 2^7642643580 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 7642643580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13762685664).

7642643580 is an abundant number, since it is smaller than the sum of its proper divisors (19882727748).

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

7642643580 is a wasteful number, since it uses less digits than its factorization.

7642643580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 7642643580 is about 87422.2144537646. The cubic root of 7642643580 is about 1969.7655402211.

The spelling of 7642643580 in words is "seven billion, six hundred forty-two million, six hundred forty-three thousand, five hundred eighty".