71388468480 has 432 divisors, whose sum is σ = 266119185024. Its totient is φ = 16262184960.

The previous prime is 71388468457. The next prime is 71388468517. The reversal of 71388468480 is 8486488317.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 71388468480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86741349 + ... + 86742171.

It is an arithmetic number, because the mean of its divisors is an integer number (616016632).

Almost surely, 2^71388468480 is an apocalyptic number.

71388468480 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 71388468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133059592512).

71388468480 is an abundant number, since it is smaller than the sum of its proper divisors (194730716544).

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

71388468480 is a wasteful number, since it uses less digits than its factorization.

71388468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 71388468480 in words is "seventy-one billion, three hundred eighty-eight million, four hundred sixty-eight thousand, four hundred eighty".