270806381501040 has 7680 divisors, whose sum is σ = 1354467822796800. Its totient is φ = 48910417920000.

The previous prime is 270806381500997. The next prime is 270806381501041. The reversal of 270806381501040 is 40105183608072.

270806381501040 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 0 + 63 + 81 + 501 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270806381501041) by changing a digit.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 1793419744965 + ... + 1793419745115.

It is an arithmetic number, because the mean of its divisors is an integer number (176362997760).

Almost surely, 2^{270806381501040} is an apocalyptic number.

270806381501040 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 270806381501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677233911398400).

270806381501040 is an abundant number, since it is smaller than the sum of its proper divisors (1083661441295760).

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

270806381501040 is a wasteful number, since it uses less digits than its factorization.

270806381501040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 270806381501040 in words is "two hundred seventy trillion, eight hundred six billion, three hundred eighty-one million, five hundred one thousand, forty".