6492445041600 has 2016 divisors, whose sum is σ = 28532957107200. Its totient is φ = 1396640931840.

The previous prime is 6492445041571. The next prime is 6492445041617. The reversal of 6492445041600 is 61405442946.

6492445041600 is a `hidden beast` number, since 6 + 4 + 92 + 44 + 504 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7611306774 + ... + 7611307626.

Almost surely, 2^{6492445041600} is an apocalyptic number.

6492445041600 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 6492445041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266478553600).

6492445041600 is an abundant number, since it is smaller than the sum of its proper divisors (22040512065600).

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

6492445041600 is a wasteful number, since it uses less digits than its factorization.

6492445041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 6492445041600 in words is "six trillion, four hundred ninety-two billion, four hundred forty-five million, forty-one thousand, six hundred".