7606516803984 has 720 divisors, whose sum is σ = 26963727336000. Its totient is φ = 2066930224128.

The previous prime is 7606516803983. The next prime is 7606516803989. The reversal of 7606516803984 is 4893086156067.

7606516803984 is a `hidden beast` number, since 7 + 6 + 0 + 6 + 516 + 8 + 0 + 39 + 84 = 666.

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 (7606516803983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 370154542 + ... + 370175090.

It is an arithmetic number, because the mean of its divisors is an integer number (37449621300).

Almost surely, 2^{7606516803984} 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 7606516803984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13481863668000).

7606516803984 is an abundant number, since it is smaller than the sum of its proper divisors (19357210532016).

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

7606516803984 is a wasteful number, since it uses less digits than its factorization.

7606516803984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20682 (or 20657 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 7606516803984 in words is "seven trillion, six hundred six billion, five hundred sixteen million, eight hundred three thousand, nine hundred eighty-four".