7667896320 has 624 divisors, whose sum is σ = 31823017920. Its totient is φ = 1746468864.

The previous prime is 7667896297. The next prime is 7667896321. The reversal of 7667896320 is 236987667.

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 (7667896321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27094899 + ... + 27095181.

Almost surely, 2^7667896320 is an apocalyptic number.

7667896320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7667896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15911508960).

7667896320 is an abundant number, since it is smaller than the sum of its proper divisors (24155121600).

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

7667896320 is a wasteful number, since it uses less digits than its factorization.

7667896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 7667896320 is about 87566.5251109121. The cubic root of 7667896320 is about 1971.9326477688.

The spelling of 7667896320 in words is "seven billion, six hundred sixty-seven million, eight hundred ninety-six thousand, three hundred twenty".