6469320874896 has 960 divisors, whose sum is σ = 21333354577920. Its totient is φ = 1874333260800.

The previous prime is 6469320874811. The next prime is 6469320874909. The reversal of 6469320874896 is 6984780239646.

6469320874896 is a `hidden beast` number, since 6 + 4 + 69 + 3 + 2 + 0 + 87 + 489 + 6 = 666.

It is a super-2 number, since 2×6469320874896² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37394918266 + ... + 37394918438.

It is an arithmetic number, because the mean of its divisors is an integer number (22222244352).

Almost surely, 2^{6469320874896} is an apocalyptic number.

6469320874896 is a gapful number since it is divisible by the number (66) 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 6469320874896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666677288960).

6469320874896 is an abundant number, since it is smaller than the sum of its proper divisors (14864033703024).

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

6469320874896 is a wasteful number, since it uses less digits than its factorization.

6469320874896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 6469320874896 in words is "six trillion, four hundred sixty-nine billion, three hundred twenty million, eight hundred seventy-four thousand, eight hundred ninety-six".