7931434007 has 16 divisors (see below), whose sum is σ = 9117096960. Its totient is φ = 6759008928.

The previous prime is 7931433977. The next prime is 7931434033. The reversal of 7931434007 is 7004341397.

It is a happy number.

It is not a de Polignac number, because 7931434007 - 2¹⁸ = 7931171863 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7931434067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258418 + ... + 1264704.

It is an arithmetic number, because the mean of its divisors is an integer number (569818560).

Almost surely, 2^7931434007 is an apocalyptic number.

7931434007 is a deficient number, since it is larger than the sum of its proper divisors (1185662953).

7931434007 is a wasteful number, since it uses less digits than its factorization.

7931434007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7310.

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 7931434007 is about 89058.5987257828. The cubic root of 7931434007 is about 1994.2697651338.

The spelling of 7931434007 in words is "seven billion, nine hundred thirty-one million, four hundred thirty-four thousand, seven".