270653438018664 has 768 divisors, whose sum is σ = 807720615936000. Its totient is φ = 81598321728000.

The previous prime is 270653438018651. The next prime is 270653438018681. The reversal of 270653438018664 is 466810834356072.

It is a happy number.

270653438018664 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 534 + 3 + 80 + 18 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×270653438018664² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117115290069 + ... + 117115292379.

It is an arithmetic number, because the mean of its divisors is an integer number (1051719552000).

Almost surely, 2^{270653438018664} is an apocalyptic number.

270653438018664 is a gapful number since it is divisible by the number (24) 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 270653438018664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403860307968000).

270653438018664 is an abundant number, since it is smaller than the sum of its proper divisors (537067177917336).

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

270653438018664 is a wasteful number, since it uses less digits than its factorization.

270653438018664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 270653438018664 in words is "two hundred seventy trillion, six hundred fifty-three billion, four hundred thirty-eight million, eighteen thousand, six hundred sixty-four".