270796752000 has 384 divisors, whose sum is σ = 974192469120. Its totient is φ = 72086784000.

The previous prime is 270796751983. The next prime is 270796752013. The reversal of 270796752000 is 257697072.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106990735 + ... + 106993265.

It is an arithmetic number, because the mean of its divisors is an integer number (2536959555).

Almost surely, 2^270796752000 is an apocalyptic number.

270796752000 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 270796752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487096234560).

270796752000 is an abundant number, since it is smaller than the sum of its proper divisors (703395717120).

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

270796752000 is a wasteful number, since it uses less digits than its factorization.

270796752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 270796752000 in words is "two hundred seventy billion, seven hundred ninety-six million, seven hundred fifty-two thousand".