71366883840 has 720 divisors, whose sum is σ = 293805338112. Its totient is φ = 16285556736.

The previous prime is 71366883827. The next prime is 71366883871. The reversal of 71366883840 is 4838866317.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117572817 + ... + 117573423.

Almost surely, 2^71366883840 is an apocalyptic number.

71366883840 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 71366883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146902669056).

71366883840 is an abundant number, since it is smaller than the sum of its proper divisors (222438454272).

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

71366883840 is an frugal number, since it uses more digits than its factorization.

71366883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 71366883840 in words is "seventy-one billion, three hundred sixty-six million, eight hundred eighty-three thousand, eight hundred forty".