2768467996800 has 864 divisors, whose sum is σ = 11089898951040. Its totient is φ = 656825241600.

The previous prime is 2768467996759. The next prime is 2768467996817. The reversal of 2768467996800 is 86997648672.

2768467996800 is a `hidden beast` number, since 2 + 76 + 8 + 467 + 9 + 96 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×2768467996800³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 163777149 + ... + 163794051.

Almost surely, 2^{2768467996800} is an apocalyptic number.

2768467996800 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 2768467996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544949475520).

2768467996800 is an abundant number, since it is smaller than the sum of its proper divisors (8321430954240).

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

2768467996800 is a wasteful number, since it uses less digits than its factorization.

2768467996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17002 (or 16971 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 2768467996800 in words is "two trillion, seven hundred sixty-eight billion, four hundred sixty-seven million, nine hundred ninety-six thousand, eight hundred".