6435749205504 has 240 divisors, whose sum is σ = 19489907923200. Its totient is φ = 2040508428288.

The previous prime is 6435749205499. The next prime is 6435749205517. The reversal of 6435749205504 is 4055029475346.

It is a happy number.

6435749205504 is a `hidden beast` number, since 6 + 43 + 5 + 7 + 4 + 92 + 0 + 5 + 504 = 666.

It is a super-2 number, since 2×6435749205504² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18801517 + ... + 19140755.

It is an arithmetic number, because the mean of its divisors is an integer number (81207949680).

Almost surely, 2^{6435749205504} is an apocalyptic number.

6435749205504 is a gapful number since it is divisible by the number (64) 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 6435749205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9744953961600).

6435749205504 is an abundant number, since it is smaller than the sum of its proper divisors (13054158717696).

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

6435749205504 is a wasteful number, since it uses less digits than its factorization.

6435749205504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339465 (or 339446 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 6435749205504 in words is "six trillion, four hundred thirty-five billion, seven hundred forty-nine million, two hundred five thousand, five hundred four".