2667407790400 has 84 divisors (see below), whose sum is σ = 6567141747580. Its totient is φ = 1066369536000.

The previous prime is 2667407790379. The next prime is 2667407790401. The reversal of 2667407790400 is 40977047662.

It can be written as a sum of positive squares in 6 ways, for example, as 1920542976 + 2665487247424 = 43824^2 + 1632632^2 .

It is a super-3 number, since 3×2667407790400³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667407790401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2418766 + ... + 3344434.

Almost surely, 2^{2667407790400} is an apocalyptic number.

2667407790400 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 2667407790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283570873790).

2667407790400 is an abundant number, since it is smaller than the sum of its proper divisors (3899733957180).

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

2667407790400 is a wasteful number, since it uses less digits than its factorization.

2667407790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927492 (or 927477 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 2667407790400 in words is "two trillion, six hundred sixty-seven billion, four hundred seven million, seven hundred ninety thousand, four hundred".