271998376704 has 576 divisors, whose sum is σ = 890072064000. Its totient is φ = 81554964480.

The previous prime is 271998376693. The next prime is 271998376711. The reversal of 271998376704 is 407673899172.

271998376704 is a `hidden beast` number, since 2 + 7 + 199 + 8 + 376 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×271998376704² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324193117 + ... + 324193955.

It is an arithmetic number, because the mean of its divisors is an integer number (1545264000).

Almost surely, 2^271998376704 is an apocalyptic number.

271998376704 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 271998376704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445036032000).

271998376704 is an abundant number, since it is smaller than the sum of its proper divisors (618073687296).

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

271998376704 is a wasteful number, since it uses less digits than its factorization.

271998376704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 271998376704 in words is "two hundred seventy-one billion, nine hundred ninety-eight million, three hundred seventy-six thousand, seven hundred four".