71803791360 has 960 divisors, whose sum is σ = 299675376000. Its totient is φ = 16105734144.

The previous prime is 71803791331. The next prime is 71803791373. The reversal of 71803791360 is 6319730817.

71803791360 is a `hidden beast` number, since 71 + 80 + 379 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 481904566 + ... + 481904714.

It is an arithmetic number, because the mean of its divisors is an integer number (312161850).

Almost surely, 2^71803791360 is an apocalyptic number.

71803791360 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 71803791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149837688000).

71803791360 is an abundant number, since it is smaller than the sum of its proper divisors (227871584640).

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

71803791360 is a wasteful number, since it uses less digits than its factorization.

71803791360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 71803791360 in words is "seventy-one billion, eight hundred three million, seven hundred ninety-one thousand, three hundred sixty".