7683008007 has 16 divisors (see below), whose sum is σ = 10288135040. Its totient is φ = 5099969952.

The previous prime is 7683007957. The next prime is 7683008009. The reversal of 7683008007 is 7008003867.

It is not a de Polignac number, because 7683008007 - 2¹⁵ = 7682975239 is a prime.

It is a super-2 number, since 2×7683008007² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7683008009) 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 15 ways as a sum of consecutive naturals, for example, 1808628 + ... + 1812870.

It is an arithmetic number, because the mean of its divisors is an integer number (643008440).

Almost surely, 2^7683008007 is an apocalyptic number.

7683008007 is a deficient number, since it is larger than the sum of its proper divisors (2605127033).

7683008007 is a wasteful number, since it uses less digits than its factorization.

7683008007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6702.

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 7683008007 is about 87652.7695341111. The cubic root of 7683008007 is about 1973.2272085922.

The spelling of 7683008007 in words is "seven billion, six hundred eighty-three million, eight thousand, seven".