6420460073742 has 480 divisors, whose sum is σ = 17648565043200. Its totient is φ = 1737223329600.

The previous prime is 6420460073719. The next prime is 6420460073749. The reversal of 6420460073742 is 2473700640246.

6420460073742 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 4 + 600 + 7 + 37 + 4 + 2 = 666.

It is a super-3 number, since 3×6420460073742³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6420460073749) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2867555859 + ... + 2867558097.

It is an arithmetic number, because the mean of its divisors is an integer number (36767843840).

Almost surely, 2^{6420460073742} is an apocalyptic number.

6420460073742 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6420460073742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8824282521600).

6420460073742 is an abundant number, since it is smaller than the sum of its proper divisors (11228104969458).

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

6420460073742 is a wasteful number, since it uses less digits than its factorization.

6420460073742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 6420460073742 in words is "six trillion, four hundred twenty billion, four hundred sixty million, seventy-three thousand, seven hundred forty-two".