270073352640 has 896 divisors, whose sum is σ = 1110318612480. Its totient is φ = 54056927232.

The previous prime is 270073352629. The next prime is 270073352669. The reversal of 270073352640 is 46253370072.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 279289437 + ... + 279290403.

It is an arithmetic number, because the mean of its divisors is an integer number (1239194880).

Almost surely, 2^270073352640 is an apocalyptic number.

270073352640 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 270073352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555159306240).

270073352640 is an abundant number, since it is smaller than the sum of its proper divisors (840245259840).

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

270073352640 is a wasteful number, since it uses less digits than its factorization.

270073352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The spelling of 270073352640 in words is "two hundred seventy billion, seventy-three million, three hundred fifty-two thousand, six hundred forty".