6898268975040 has 896 divisors, whose sum is σ = 26592097996800. Its totient is φ = 1677565624320.

The previous prime is 6898268975009. The next prime is 6898268975071. The reversal of 6898268975040 is 405798628986.

6898268975040 is a `hidden beast` number, since 6 + 8 + 9 + 8 + 26 + 8 + 97 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6898268975009) and next prime (6898268975071).

It is a super-2 number, since 2×6898268975040² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6898268975040.

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, 470639392 + ... + 470654048.

It is an arithmetic number, because the mean of its divisors is an integer number (29678680800).

Almost surely, 2^{6898268975040} is an apocalyptic number.

6898268975040 is a gapful number since it is divisible by the number (60) 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 6898268975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13296048998400).

6898268975040 is an abundant number, since it is smaller than the sum of its proper divisors (19693829021760).

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

6898268975040 is a wasteful number, since it uses less digits than its factorization.

6898268975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14810 (or 14794 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 6898268975040 in words is "six trillion, eight hundred ninety-eight billion, two hundred sixty-eight million, nine hundred seventy-five thousand, forty".