6667731012096 has 2520 divisors, whose sum is σ = 26853906052512. Its totient is φ = 1643933491200.

The previous prime is 6667731012091. The next prime is 6667731012109. The reversal of 6667731012096 is 6902101377666.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6667731012091) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 50898709951 + ... + 50898710081.

Almost surely, 2^{6667731012096} is an apocalyptic number.

6667731012096 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 6667731012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426953026256).

6667731012096 is an abundant number, since it is smaller than the sum of its proper divisors (20186175040416).

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

6667731012096 is a wasteful number, since it uses less digits than its factorization.

6667731012096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 6667731012096 in words is "six trillion, six hundred sixty-seven billion, seven hundred thirty-one million, twelve thousand, ninety-six".