71084134766400 has 336 divisors, whose sum is σ = 266545276546176. Its totient is φ = 16246971924480.

The previous prime is 71084134766389. The next prime is 71084134766401. The reversal of 71084134766400 is 466743148017.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71084134766401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862033972 + ... + 862116428.

Almost surely, 2^{71084134766400} is an apocalyptic number.

71084134766400 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 71084134766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133272638273088).

71084134766400 is an abundant number, since it is smaller than the sum of its proper divisors (195461141779776).

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

71084134766400 is a wasteful number, since it uses less digits than its factorization.

71084134766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108146 (or 108131 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 71084134766400 in words is "seventy-one trillion, eighty-four billion, one hundred thirty-four million, seven hundred sixty-six thousand, four hundred".