71027334432 has 480 divisors, whose sum is σ = 228095771904. Its totient is φ = 21598617600.

The previous prime is 71027334401. The next prime is 71027334463. The reversal of 71027334432 is 23443372017.

71027334432 is a `hidden beast` number, since 7 + 10 + 273 + 344 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (71027334401) and next prime (71027334463).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228383557 + ... + 228383867.

Almost surely, 2^71027334432 is an apocalyptic number.

71027334432 is a gapful number since it is divisible by the number (72) 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 71027334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114047885952).

71027334432 is an abundant number, since it is smaller than the sum of its proper divisors (157068437472).

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

71027334432 is a wasteful number, since it uses less digits than its factorization.

71027334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 71027334432 in words is "seventy-one billion, twenty-seven million, three hundred thirty-four thousand, four hundred thirty-two".