6436668290976 has 1536 divisors, whose sum is σ = 25610665328640. Its totient is φ = 1521657446400.

The previous prime is 6436668290873. The next prime is 6436668290999. The reversal of 6436668290976 is 6790928666346.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5888991486 + ... + 5888992578.

It is an arithmetic number, because the mean of its divisors is an integer number (16673610240).

Almost surely, 2^{6436668290976} is an apocalyptic number.

6436668290976 is a gapful number since it is divisible by the number (66) 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 6436668290976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12805332664320).

6436668290976 is an abundant number, since it is smaller than the sum of its proper divisors (19173997037664).

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

6436668290976 is a wasteful number, since it uses less digits than its factorization.

6436668290976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 6436668290976 in words is "six trillion, four hundred thirty-six billion, six hundred sixty-eight million, two hundred ninety thousand, nine hundred seventy-six".