6401924859456 has 504 divisors, whose sum is σ = 22162740556320. Its totient is φ = 1826950422528.

The previous prime is 6401924859439. The next prime is 6401924859467. The reversal of 6401924859456 is 6549584291046.

6401924859456 is a `hidden beast` number, since 6 + 4 + 0 + 1 + 92 + 48 + 59 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×6401924859456² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6401924859393 and 6401924859402.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 707938071 + ... + 707947113.

It is an arithmetic number, because the mean of its divisors is an integer number (43973691580).

Almost surely, 2^{6401924859456} 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 6401924859456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11081370278160).

6401924859456 is an abundant number, since it is smaller than the sum of its proper divisors (15760815696864).

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

6401924859456 is an equidigital number, since it uses as much as digits as its factorization.

6401924859456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10013 (or 9984 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 6401924859456 in words is "six trillion, four hundred one billion, nine hundred twenty-four million, eight hundred fifty-nine thousand, four hundred fifty-six".