270020277740400 has 480 divisors, whose sum is σ = 965630831742720. Its totient is φ = 63931284480000.

The previous prime is 270020277740399. The next prime is 270020277740407. The reversal of 270020277740400 is 4047772020072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270020277740407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12147196486 + ... + 12147218714.

It is an arithmetic number, because the mean of its divisors is an integer number (2011730899464).

Almost surely, 2^{270020277740400} is an apocalyptic number.

270020277740400 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 270020277740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482815415871360).

270020277740400 is an abundant number, since it is smaller than the sum of its proper divisors (695610554002320).

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

270020277740400 is a wasteful number, since it uses less digits than its factorization.

270020277740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43705 (or 43694 counting only the distinct ones).

The product of its (nonzero) digits is 307328, while the sum is 42.

The spelling of 270020277740400 in words is "two hundred seventy trillion, twenty billion, two hundred seventy-seven million, seven hundred forty thousand, four hundred".