7817242464 has 72 divisors (see below), whose sum is σ = 23537961720. Its totient is φ = 2452466688.

The previous prime is 7817242463. The next prime is 7817242469. The reversal of 7817242464 is 4642427187.

7817242464 is a `hidden beast` number, since 7 + 81 + 72 + 42 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7817242464² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7817242463) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 793434 + ... + 803225.

It is an arithmetic number, because the mean of its divisors is an integer number (326916135).

Almost surely, 2^7817242464 is an apocalyptic number.

It is an amenable number.

7817242464 is an abundant number, since it is smaller than the sum of its proper divisors (15720719256).

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

7817242464 is a wasteful number, since it uses less digits than its factorization.

7817242464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596692 (or 1596681 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 7817242464 is about 88415.1710058856. The cubic root of 7817242464 is about 1984.6527373369.

The spelling of 7817242464 in words is "seven billion, eight hundred seventeen million, two hundred forty-two thousand, four hundred sixty-four".