7641196992 has 672 divisors, whose sum is σ = 28296656640. Its totient is φ = 1992867840.

The previous prime is 7641196991. The next prime is 7641196999. The reversal of 7641196992 is 2996911467.

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 (7641196991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71413003 + ... + 71413109.

It is an arithmetic number, because the mean of its divisors is an integer number (42108120).

Almost surely, 2^7641196992 is an apocalyptic number.

7641196992 is a gapful number since it is divisible by the number (72) 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 7641196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148328320).

7641196992 is an abundant number, since it is smaller than the sum of its proper divisors (20655459648).

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

7641196992 is a wasteful number, since it uses less digits than its factorization.

7641196992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 153 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 7641196992 is about 87413.9404900614. The cubic root of 7641196992 is about 1969.6412543000.

The spelling of 7641196992 in words is "seven billion, six hundred forty-one million, one hundred ninety-six thousand, nine hundred ninety-two".