7661296806408 has 288 divisors, whose sum is σ = 25308169286400. Its totient is φ = 2043921890304.

The previous prime is 7661296806407. The next prime is 7661296806419. The reversal of 7661296806408 is 8046086921667.

7661296806408 is a `hidden beast` number, since 7 + 6 + 61 + 2 + 96 + 80 + 6 + 408 = 666.

It is a super-3 number, since 3×7661296806408³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7661296806407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138165553 + ... + 138220991.

It is an arithmetic number, because the mean of its divisors is an integer number (87875587800).

Almost surely, 2^{7661296806408} 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 7661296806408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12654084643200).

7661296806408 is an abundant number, since it is smaller than the sum of its proper divisors (17646872479992).

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

7661296806408 is a wasteful number, since it uses less digits than its factorization.

7661296806408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55729 (or 55595 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 7661296806408 in words is "seven trillion, six hundred sixty-one billion, two hundred ninety-six million, eight hundred six thousand, four hundred eight".