7929463680 has 256 divisors, whose sum is σ = 29736590400. Its totient is φ = 1990066176.

The previous prime is 7929463679. The next prime is 7929463687. The reversal of 7929463680 is 863649297.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7929463687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280264 + ... + 307256.

Almost surely, 2^7929463680 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 7929463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14868295200).

7929463680 is an abundant number, since it is smaller than the sum of its proper divisors (21807126720).

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

7929463680 is a wasteful number, since it uses less digits than its factorization.

7929463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27038 (or 27020 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 7929463680 is about 89047.5360692254. The cubic root of 7929463680 is about 1994.1046126119.

The spelling of 7929463680 in words is "seven billion, nine hundred twenty-nine million, four hundred sixty-three thousand, six hundred eighty".