71977342338 has 128 divisors (see below), whose sum is σ = 191126304000. Its totient is φ = 19820344320.

The previous prime is 71977342337. The next prime is 71977342351. The reversal of 71977342338 is 83324377917.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71977342331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169948 + ... + 415736.

It is an arithmetic number, because the mean of its divisors is an integer number (1493174250).

Almost surely, 2^71977342338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71977342338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95563152000).

71977342338 is an abundant number, since it is smaller than the sum of its proper divisors (119148961662).

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

71977342338 is a wasteful number, since it uses less digits than its factorization.

71977342338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245857 (or 245851 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 71977342338 in words is "seventy-one billion, nine hundred seventy-seven million, three hundred forty-two thousand, three hundred thirty-eight".