71978772096 has 640 divisors, whose sum is σ = 276362064000. Its totient is φ = 18045296640.

The previous prime is 71978772091. The next prime is 71978772097. The reversal of 71978772096 is 69027787917.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (71978772091) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23150190 + ... + 23153298.

It is an arithmetic number, because the mean of its divisors is an integer number (431815725).

Almost surely, 2^71978772096 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 71978772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138181032000).

71978772096 is an abundant number, since it is smaller than the sum of its proper divisors (204383291904).

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

71978772096 is a wasteful number, since it uses less digits than its factorization.

71978772096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 63.

The spelling of 71978772096 in words is "seventy-one billion, nine hundred seventy-eight million, seven hundred seventy-two thousand, ninety-six".