7667741480 has 192 divisors, whose sum is σ = 20762956800. Its totient is φ = 2539676160.

The previous prime is 7667741443. The next prime is 7667741507. The reversal of 7667741480 is 841477667.

It is a super-2 number, since 2×7667741480² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7053497 + ... + 7054583.

It is an arithmetic number, because the mean of its divisors is an integer number (108140400).

Almost surely, 2^7667741480 is an apocalyptic number.

7667741480 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 7667741480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10381478400).

7667741480 is an abundant number, since it is smaller than the sum of its proper divisors (13095215320).

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

7667741480 is a wasteful number, since it uses less digits than its factorization.

7667741480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 50.

The square root of 7667741480 is about 87565.6409786396. The cubic root of 7667741480 is about 1971.9193744149.

The spelling of 7667741480 in words is "seven billion, six hundred sixty-seven million, seven hundred forty-one thousand, four hundred eighty".