6435604138464 has 384 divisors, whose sum is σ = 19155453609600. Its totient is φ = 2127979413504.

The previous prime is 6435604138463. The next prime is 6435604138471. The reversal of 6435604138464 is 4648314065346.

It is a happy number.

6435604138464 is a `hidden beast` number, since 6 + 4 + 3 + 560 + 4 + 1 + 38 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6435604138464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6435604138463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7955010892 + ... + 7955011700.

It is an arithmetic number, because the mean of its divisors is an integer number (49883993775).

Almost surely, 2^{6435604138464} 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 6435604138464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9577726804800).

6435604138464 is an abundant number, since it is smaller than the sum of its proper divisors (12719849471136).

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

6435604138464 is an equidigital number, since it uses as much as digits as its factorization.

6435604138464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 6435604138464 in words is "six trillion, four hundred thirty-five billion, six hundred four million, one hundred thirty-eight thousand, four hundred sixty-four".