4276267968000 has 1280 divisors, whose sum is σ = 16890242383872. Its totient is φ = 939294720000.

The previous prime is 4276267967981. The next prime is 4276267968029. The reversal of 4276267968000 is 8697626724.

4276267968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8207807740 + ... + 8207808260.

Almost surely, 2^{4276267968000} is an apocalyptic number.

4276267968000 is a gapful number since it is divisible by the number (40) 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 4276267968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8445121191936).

4276267968000 is an abundant number, since it is smaller than the sum of its proper divisors (12613974415872).

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

4276267968000 is a wasteful number, since it uses less digits than its factorization.

4276267968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 4276267968000 in words is "four trillion, two hundred seventy-six billion, two hundred sixty-seven million, nine hundred sixty-eight thousand".