6893890122960 has 240 divisors, whose sum is σ = 23219209750464. Its totient is φ = 1833037959168.

The previous prime is 6893890122937. The next prime is 6893890122983. The reversal of 6893890122960 is 692210983986.

It is an interprime number because it is at equal distance from previous prime (6893890122937) and next prime (6893890122983).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566785839 + ... + 566798001.

Almost surely, 2^{6893890122960} is an apocalyptic number.

6893890122960 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 6893890122960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11609604875232).

6893890122960 is an abundant number, since it is smaller than the sum of its proper divisors (16325319627504).

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

6893890122960 is a wasteful number, since it uses less digits than its factorization.

6893890122960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14402 (or 14393 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 6893890122960 in words is "six trillion, eight hundred ninety-three billion, eight hundred ninety million, one hundred twenty-two thousand, nine hundred sixty".