6998242771296 has 1152 divisors, whose sum is σ = 25531238154240. Its totient is φ = 1772391628800.

The previous prime is 6998242771259. The next prime is 6998242771307. The reversal of 6998242771296 is 6921772428996.

6998242771296 is a `hidden beast` number, since 6 + 9 + 98 + 242 + 7 + 7 + 1 + 296 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13432327516 + ... + 13432328036.

It is an arithmetic number, because the mean of its divisors is an integer number (22162533120).

Almost surely, 2^{6998242771296} 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 6998242771296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765619077120).

6998242771296 is an abundant number, since it is smaller than the sum of its proper divisors (18532995382944).

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

6998242771296 is a wasteful number, since it uses less digits than its factorization.

6998242771296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 897 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 6998242771296 in words is "six trillion, nine hundred ninety-eight billion, two hundred forty-two million, seven hundred seventy-one thousand, two hundred ninety-six".