7642008720 has 160 divisors (see below), whose sum is σ = 26512886400. Its totient is φ = 2023128576.

The previous prime is 7642008709. The next prime is 7642008721. The reversal of 7642008720 is 278002467.

7642008720 is a `hidden beast` number, since 7 + 642 + 0 + 0 + 8 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7642008721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 287514 + ... + 312966.

It is an arithmetic number, because the mean of its divisors is an integer number (165705540).

Almost surely, 2^7642008720 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 7642008720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13256443200).

7642008720 is an abundant number, since it is smaller than the sum of its proper divisors (18870877680).

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

7642008720 is a wasteful number, since it uses less digits than its factorization.

7642008720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25614 (or 25602 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7642008720 is about 87418.5833790505. The cubic root of 7642008720 is about 1969.7109971403.

The spelling of 7642008720 in words is "seven billion, six hundred forty-two million, eight thousand, seven hundred twenty".