2768459472000 has 320 divisors, whose sum is σ = 10282140194040. Its totient is φ = 738255513600.

The previous prime is 2768459471989. The next prime is 2768459472011. The reversal of 2768459472000 is 2749548672.

2768459472000 is a `hidden beast` number, since 27 + 6 + 8 + 4 + 594 + 7 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2768459471989) and next prime (2768459472011).

It can be written as a sum of positive squares in 4 ways, for example, as 618060124224 + 2150399347776 = 786168^2 + 1466424^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 227922 + ... + 2364078.

Almost surely, 2^{2768459472000} is an apocalyptic number.

2768459472000 is a gapful number since it is divisible by the number (20) 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 2768459472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5141070097020).

2768459472000 is an abundant number, since it is smaller than the sum of its proper divisors (7513680722040).

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

2768459472000 is an equidigital number, since it uses as much as digits as its factorization.

2768459472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136198 (or 2136167 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2768459472000 in words is "two trillion, seven hundred sixty-eight billion, four hundred fifty-nine million, four hundred seventy-two thousand".