71879703920640 has 2560 divisors, whose sum is σ = 324216034560000. Its totient is φ = 14799014461440.

The previous prime is 71879703920621. The next prime is 71879703920669. The reversal of 71879703920640 is 4602930797817.

71879703920640 is a `hidden beast` number, since 7 + 187 + 9 + 7 + 0 + 392 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 659446824906 + ... + 659446825014.

It is an arithmetic number, because the mean of its divisors is an integer number (126646888500).

Almost surely, 2^{71879703920640} is an apocalyptic number.

71879703920640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71879703920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162108017280000).

71879703920640 is an abundant number, since it is smaller than the sum of its proper divisors (252336330639360).

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

71879703920640 is an frugal number, since it uses more digits than its factorization.

71879703920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 71879703920640 in words is "seventy-one trillion, eight hundred seventy-nine billion, seven hundred three million, nine hundred twenty thousand, six hundred forty".