6469126896960 has 2240 divisors, whose sum is σ = 28997160192000. Its totient is φ = 1332847706112.

The previous prime is 6469126896949. The next prime is 6469126896971. The reversal of 6469126896960 is 696986219646.

6469126896960 is a `hidden beast` number, since 6 + 469 + 1 + 26 + 89 + 6 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (6469126896949) and next prime (6469126896971).

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 27764493004 + ... + 27764493236.

It is an arithmetic number, because the mean of its divisors is an integer number (12945160800).

Almost surely, 2^{6469126896960} is an apocalyptic number.

6469126896960 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 6469126896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14498580096000).

6469126896960 is an abundant number, since it is smaller than the sum of its proper divisors (22528033295040).

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

6469126896960 is a wasteful number, since it uses less digits than its factorization.

6469126896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 6469126896960 in words is "six trillion, four hundred sixty-nine billion, one hundred twenty-six million, eight hundred ninety-six thousand, nine hundred sixty".