71427967380 has 1296 divisors, whose sum is σ = 305176854528. Its totient is φ = 13412044800.

The previous prime is 71427967367. The next prime is 71427967393. The reversal of 71427967380 is 8376972417.

71427967380 is a `hidden beast` number, since 71 + 427 + 9 + 6 + 73 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (71427967367) and next prime (71427967393).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 562424877 + ... + 562425003.

It is an arithmetic number, because the mean of its divisors is an integer number (235475968).

Almost surely, 2^71427967380 is an apocalyptic number.

71427967380 is a gapful number since it is divisible by the number (70) 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 71427967380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152588427264).

71427967380 is an abundant number, since it is smaller than the sum of its proper divisors (233748887148).

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

71427967380 is a wasteful number, since it uses less digits than its factorization.

71427967380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 71427967380 in words is "seventy-one billion, four hundred twenty-seven million, nine hundred sixty-seven thousand, three hundred eighty".