71692000380 has 864 divisors, whose sum is σ = 297125756928. Its totient is φ = 13586227200.

The previous prime is 71692000379. The next prime is 71692000411. The reversal of 71692000380 is 8300029617.

71692000380 is a `hidden beast` number, since 71 + 6 + 9 + 200 + 0 + 380 = 666.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 297477060 + ... + 297477300.

It is an arithmetic number, because the mean of its divisors is an integer number (343895552).

Almost surely, 2^71692000380 is an apocalyptic number.

71692000380 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 71692000380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148562878464).

71692000380 is an abundant number, since it is smaller than the sum of its proper divisors (225433756548).

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

71692000380 is a wasteful number, since it uses less digits than its factorization.

71692000380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 71692000380 its reverse (8300029617), we get a palindrome (79992029997).

The spelling of 71692000380 in words is "seventy-one billion, six hundred ninety-two million, three hundred eighty", and thus it is an aban number.