6492105491040 has 768 divisors, whose sum is σ = 24682734720000. Its totient is φ = 1584239689728.

The previous prime is 6492105490991. The next prime is 6492105491077. The reversal of 6492105491040 is 401945012946.

6492105491040 is a `hidden beast` number, since 6 + 4 + 92 + 1 + 0 + 549 + 10 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 4111528971 + ... + 4111530549.

It is an arithmetic number, because the mean of its divisors is an integer number (32138977500).

Almost surely, 2^{6492105491040} is an apocalyptic number.

6492105491040 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 6492105491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12341367360000).

6492105491040 is an abundant number, since it is smaller than the sum of its proper divisors (18190629228960).

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

6492105491040 is a wasteful number, since it uses less digits than its factorization.

6492105491040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 6492105491040 in words is "six trillion, four hundred ninety-two billion, one hundred five million, four hundred ninety-one thousand, forty".