270016467840 has 1536 divisors, whose sum is σ = 1171655884800. Its totient is φ = 59256852480.

The previous prime is 270016467839. The next prime is 270016467881. The reversal of 270016467840 is 48764610072.

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

It is a congruent number.

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, 2126113857 + ... + 2126113983.

It is an arithmetic number, because the mean of its divisors is an integer number (762796800).

Almost surely, 2^270016467840 is an apocalyptic number.

270016467840 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 270016467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585827942400).

270016467840 is an abundant number, since it is smaller than the sum of its proper divisors (901639416960).

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

270016467840 is an equidigital number, since it uses as much as digits as its factorization.

270016467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 270016467840 in words is "two hundred seventy billion, sixteen million, four hundred sixty-seven thousand, eight hundred forty".