270406579968 has 432 divisors, whose sum is σ = 922962476800. Its totient is φ = 76091000832.

The previous prime is 270406579951. The next prime is 270406579991. The reversal of 270406579968 is 869975604072.

270406579968 is a `hidden beast` number, since 2 + 70 + 406 + 5 + 79 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52945671 + ... + 52950777.

Almost surely, 2^270406579968 is an apocalyptic number.

270406579968 is a gapful number since it is divisible by the number (28) 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 270406579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461481238400).

270406579968 is an abundant number, since it is smaller than the sum of its proper divisors (652555896832).

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

270406579968 is an equidigital number, since it uses as much as digits as its factorization.

270406579968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 270406579968 in words is "two hundred seventy billion, four hundred six million, five hundred seventy-nine thousand, nine hundred sixty-eight".