7667962848 has 960 divisors, whose sum is σ = 30735936000. Its totient is φ = 1818464256.

The previous prime is 7667962837. The next prime is 7667962957. The reversal of 7667962848 is 8482697667.

It is a super-2 number, since 2×7667962848² (a number of 21 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 129965443 + ... + 129965501.

It is an arithmetic number, because the mean of its divisors is an integer number (32016600).

Almost surely, 2^7667962848 is an apocalyptic number.

7667962848 is a gapful number since it is divisible by the number (78) 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 7667962848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367968000).

7667962848 is an abundant number, since it is smaller than the sum of its proper divisors (23067973152).

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

7667962848 is a wasteful number, since it uses less digits than its factorization.

7667962848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 7667962848 is about 87566.9049812770. The cubic root of 7667962848 is about 1971.9383506957.

The spelling of 7667962848 in words is "seven billion, six hundred sixty-seven million, nine hundred sixty-two thousand, eight hundred forty-eight".