71278206336 has 384 divisors, whose sum is σ = 231678720000. Its totient is φ = 21727512576.

The previous prime is 71278206299. The next prime is 71278206341. The reversal of 71278206336 is 63360287217.

71278206336 is a `hidden beast` number, since 7 + 1 + 2 + 7 + 8 + 2 + 0 + 633 + 6 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 71278206291 and 71278206300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17136225 + ... + 17140383.

It is an arithmetic number, because the mean of its divisors is an integer number (603330000).

Almost surely, 2^71278206336 is an apocalyptic number.

71278206336 is a gapful number since it is divisible by the number (76) 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 71278206336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115839360000).

71278206336 is an abundant number, since it is smaller than the sum of its proper divisors (160400513664).

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

71278206336 is a wasteful number, since it uses less digits than its factorization.

71278206336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4236 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 71278206336 in words is "seventy-one billion, two hundred seventy-eight million, two hundred six thousand, three hundred thirty-six".