71968849920 has 1280 divisors, whose sum is σ = 308308096800. Its totient is φ = 15854469120.

The previous prime is 71968849889. The next prime is 71968849957. The reversal of 71968849920 is 2994886917.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2481684466 + ... + 2481684494.

Almost surely, 2^71968849920 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 71968849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154154048400).

71968849920 is an abundant number, since it is smaller than the sum of its proper divisors (236339246880).

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

71968849920 is a wasteful number, since it uses less digits than its factorization.

71968849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 71968849920 in words is "seventy-one billion, nine hundred sixty-eight million, eight hundred forty-nine thousand, nine hundred twenty".