6893764456460 has 144 divisors (see below), whose sum is σ = 17423426280960. Its totient is φ = 2281780569600.

The previous prime is 6893764456457. The next prime is 6893764456463. The reversal of 6893764456460 is 646544673986.

It is an interprime number because it is at equal distance from previous prime (6893764456457) and next prime (6893764456463).

It is a super-3 number, since 3×6893764456460³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6893764456463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429162389 + ... + 429178451.

It is an arithmetic number, because the mean of its divisors is an integer number (120996015840).

Almost surely, 2^{6893764456460} 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 6893764456460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8711713140480).

6893764456460 is an abundant number, since it is smaller than the sum of its proper divisors (10529661824500).

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

6893764456460 is a wasteful number, since it uses less digits than its factorization.

6893764456460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31216 (or 31207 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 68.

The spelling of 6893764456460 in words is "six trillion, eight hundred ninety-three billion, seven hundred sixty-four million, four hundred fifty-six thousand, four hundred sixty".