71940648960000 has 1600 divisors, whose sum is σ = 284487299735760. Its totient is φ = 18048614400000.

The previous prime is 71940648959939. The next prime is 71940648960023. The reversal of 71940648960000 is 6984604917.

71940648960000 is a `hidden beast` number, since 71 + 94 + 0 + 6 + 489 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 28200958725 + ... + 28200961275.

Almost surely, 2^{71940648960000} 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 71940648960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142243649867880).

71940648960000 is an abundant number, since it is smaller than the sum of its proper divisors (212546650775760).

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

71940648960000 is an frugal number, since it uses more digits than its factorization.

71940648960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 71940648960000 in words is "seventy-one trillion, nine hundred forty billion, six hundred forty-eight million, nine hundred sixty thousand".