7667196768 has 576 divisors, whose sum is σ = 29587783680. Its totient is φ = 1822694400.

The previous prime is 7667196727. The next prime is 7667196793. The reversal of 7667196768 is 8676917667.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13061371 + ... + 13061957.

It is an arithmetic number, because the mean of its divisors is an integer number (51367680).

Almost surely, 2^7667196768 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 7667196768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793891840).

7667196768 is an abundant number, since it is smaller than the sum of its proper divisors (21920586912).

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

7667196768 is a wasteful number, since it uses less digits than its factorization.

7667196768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 660 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The square root of 7667196768 is about 87562.5306166970. The cubic root of 7667196768 is about 1971.8726786316.

The spelling of 7667196768 in words is "seven billion, six hundred sixty-seven million, one hundred ninety-six thousand, seven hundred sixty-eight".