6435970928640 has 624 divisors, whose sum is σ = 25122000923136. Its totient is φ = 1509890457600.

The previous prime is 6435970928603. The next prime is 6435970928693. The reversal of 6435970928640 is 468290795346.

6435970928640 is a `hidden beast` number, since 6 + 435 + 9 + 70 + 92 + 8 + 6 + 40 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62801922 + ... + 62904318.

It is an arithmetic number, because the mean of its divisors is an integer number (40259616864).

Almost surely, 2^{6435970928640} is an apocalyptic number.

6435970928640 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 6435970928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12561000461568).

6435970928640 is an abundant number, since it is smaller than the sum of its proper divisors (18686029994496).

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

6435970928640 is a wasteful number, since it uses less digits than its factorization.

6435970928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102474 (or 102449 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 6435970928640 in words is "six trillion, four hundred thirty-five billion, nine hundred seventy million, nine hundred twenty-eight thousand, six hundred forty".