270080024630640 has 240 divisors, whose sum is σ = 980391590922240. Its totient is φ = 61323751641600.

The previous prime is 270080024630629. The next prime is 270080024630671. The reversal of 270080024630640 is 46036420080072.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 270080024630592 and 270080024630601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74270560 + ... + 77822079.

It is an arithmetic number, because the mean of its divisors is an integer number (4084964962176).

Almost surely, 2^{270080024630640} is an apocalyptic number.

270080024630640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270080024630640 is an abundant number, since it is smaller than the sum of its proper divisors (710311566291600).

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

270080024630640 is a wasteful number, since it uses less digits than its factorization.

270080024630640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152092820 (or 152092807 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 270080024630640 in words is "two hundred seventy trillion, eighty billion, twenty-four million, six hundred thirty thousand, six hundred forty".