71113736400 has 480 divisors, whose sum is σ = 265678828800. Its totient is φ = 15925248000.

The previous prime is 71113736399. The next prime is 71113736401. The reversal of 71113736400 is 463731117.

It is an interprime number because it is at equal distance from previous prime (71113736399) and next prime (71113736401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71113736401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92475216 + ... + 92475984.

It is an arithmetic number, because the mean of its divisors is an integer number (553497560).

Almost surely, 2^71113736400 is an apocalyptic number.

71113736400 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 71113736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132839414400).

71113736400 is an abundant number, since it is smaller than the sum of its proper divisors (194565092400).

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

71113736400 is a wasteful number, since it uses less digits than its factorization.

71113736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 71113736400 in words is "seventy-one billion, one hundred thirteen million, seven hundred thirty-six thousand, four hundred".