16268763420 has 864 divisors, whose sum is σ = 66924748800. Its totient is φ = 3161410560.

The previous prime is 16268763403. The next prime is 16268763421. The reversal of 16268763420 is 2436786261.

16268763420 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 8 + 7 + 634 + 2 + 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 not an unprimeable number, because it can be changed into a prime (16268763421) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 81752481 + ... + 81752679.

It is an arithmetic number, because the mean of its divisors is an integer number (77459200).

Almost surely, 2^16268763420 is an apocalyptic number.

16268763420 is a gapful number since it is divisible by the number (10) 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 16268763420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33462374400).

16268763420 is an abundant number, since it is smaller than the sum of its proper divisors (50655985380).

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

16268763420 is a wasteful number, since it uses less digits than its factorization.

16268763420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 16268763420 in words is "sixteen billion, two hundred sixty-eight million, seven hundred sixty-three thousand, four hundred twenty".