71613884160 has 864 divisors, whose sum is σ = 318458306880. Its totient is φ = 15105097728.

The previous prime is 71613884137. The next prime is 71613884179. The reversal of 71613884160 is 6148831617.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22013094 + ... + 22016346.

Almost surely, 2^71613884160 is an apocalyptic number.

71613884160 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 71613884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159229153440).

71613884160 is an abundant number, since it is smaller than the sum of its proper divisors (246844422720).

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

71613884160 is a wasteful number, since it uses less digits than its factorization.

71613884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 71613884160 in words is "seventy-one billion, six hundred thirteen million, eight hundred eighty-four thousand, one hundred sixty".