71948619036 has 216 divisors, whose sum is σ = 232307305776. Its totient is φ = 19347310080.

The previous prime is 71948619031. The next prime is 71948619091. The reversal of 71948619036 is 63091684917.

71948619036 is a `hidden beast` number, since 7 + 19 + 4 + 8 + 619 + 0 + 3 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71948619031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 765246 + ... + 854106.

It is an arithmetic number, because the mean of its divisors is an integer number (1075496786).

Almost surely, 2^71948619036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71948619036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116153652888).

71948619036 is an abundant number, since it is smaller than the sum of its proper divisors (160358686740).

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

71948619036 is a wasteful number, since it uses less digits than its factorization.

71948619036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88911 (or 88890 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 71948619036 in words is "seventy-one billion, nine hundred forty-eight million, six hundred nineteen thousand, thirty-six".