7668713084736 has 896 divisors, whose sum is σ = 24922336296960. Its totient is φ = 2053533081600.

The previous prime is 7668713084729. The next prime is 7668713084803. The reversal of 7668713084736 is 6374803178667.

It is a super-3 number, since 3×7668713084736³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10321282381 + ... + 10321283123.

Almost surely, 2^{7668713084736} is an apocalyptic number.

7668713084736 is a gapful number since it is divisible by the number (76) 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 7668713084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12461168148480).

7668713084736 is an abundant number, since it is smaller than the sum of its proper divisors (17253623212224).

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

7668713084736 is a wasteful number, since it uses less digits than its factorization.

7668713084736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 66.

The spelling of 7668713084736 in words is "seven trillion, six hundred sixty-eight billion, seven hundred thirteen million, eighty-four thousand, seven hundred thirty-six".