71349358080 has 640 divisors, whose sum is σ = 306286396416. Its totient is φ = 13683916800.

The previous prime is 71349358079. The next prime is 71349358099. The reversal of 71349358080 is 8085394317.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×71349358080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7683040 + ... + 7692320.

Almost surely, 2^71349358080 is an apocalyptic number.

71349358080 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 71349358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153143198208).

71349358080 is an abundant number, since it is smaller than the sum of its proper divisors (234937038336).

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

71349358080 is a wasteful number, since it uses less digits than its factorization.

71349358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9338 (or 9322 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 71349358080 in words is "seventy-one billion, three hundred forty-nine million, three hundred fifty-eight thousand, eighty".