2680178716800 has 1536 divisors, whose sum is σ = 10901402265600. Its totient is φ = 638901043200.

The previous prime is 2680178716799. The next prime is 2680178716811. The reversal of 2680178716800 is 86178710862.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 10190793469 + ... + 10190793731.

It is an arithmetic number, because the mean of its divisors is an integer number (7097267100).

Almost surely, 2^{2680178716800} is an apocalyptic number.

2680178716800 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 2680178716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450701132800).

2680178716800 is an abundant number, since it is smaller than the sum of its proper divisors (8221223548800).

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

2680178716800 is a wasteful number, since it uses less digits than its factorization.

2680178716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 2680178716800 in words is "two trillion, six hundred eighty billion, one hundred seventy-eight million, seven hundred sixteen thousand, eight hundred".