7640857744 has 75 divisors (see below), whose sum is σ = 16431305565. Its totient is φ = 3440536320.

The previous prime is 7640857729. The next prime is 7640857769. The reversal of 7640857744 is 4477580467.

It is a happy number.

The square root of 7640857744 is 87412.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4217203600 + 3423654144 = 64940^2 + 58512^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7640857691 and 7640857700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 186362364 + ... + 186362404.

Almost surely, 2^7640857744 is an apocalyptic number.

7640857744 is the 87412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7640857744

7640857744 is an abundant number, since it is smaller than the sum of its proper divisors (8790447821).

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

7640857744 is an frugal number, since it uses more digits than its factorization.

7640857744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 52.

The cubic root of 7640857744 is about 1969.6121049950.

The spelling of 7640857744 in words is "seven billion, six hundred forty million, eight hundred fifty-seven thousand, seven hundred forty-four".