6409459768320 has 2112 divisors, whose sum is σ = 28311310909440. Its totient is φ = 1309356195840.

The previous prime is 6409459768303. The next prime is 6409459768331. The reversal of 6409459768320 is 238679549046.

6409459768320 is a `hidden beast` number, since 6 + 4 + 0 + 9 + 4 + 597 + 6 + 8 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 206756766705 + ... + 206756766735.

Almost surely, 2^{6409459768320} is an apocalyptic number.

6409459768320 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 6409459768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155655454720).

6409459768320 is an abundant number, since it is smaller than the sum of its proper divisors (21901851141120).

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

6409459768320 is a wasteful number, since it uses less digits than its factorization.

6409459768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 6409459768320 in words is "six trillion, four hundred nine billion, four hundred fifty-nine million, seven hundred sixty-eight thousand, three hundred twenty".