71660783040 has 1344 divisors, whose sum is σ = 313725519360. Its totient is φ = 13655900160.

The previous prime is 71660782979. The next prime is 71660783071. The reversal of 71660783040 is 4038706617.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 71660782983 and 71660783001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 363760222 + ... + 363760418.

Almost surely, 2^71660783040 is an apocalyptic number.

71660783040 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 71660783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156862759680).

71660783040 is an abundant number, since it is smaller than the sum of its proper divisors (242064736320).

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

71660783040 is a wasteful number, since it uses less digits than its factorization.

71660783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 71660783040 in words is "seventy-one billion, six hundred sixty million, seven hundred eighty-three thousand, forty".