71608766400 has 252 divisors, whose sum is σ = 259319386872. Its totient is φ = 18735175680.

The previous prime is 71608766393. The next prime is 71608766401. The reversal of 71608766400 is 466780617.

71608766400 is a `hidden beast` number, since 7 + 160 + 87 + 6 + 6 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71608766401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 716287 + ... + 810113.

It is an arithmetic number, because the mean of its divisors is an integer number (1029045186).

Almost surely, 2^71608766400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71608766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129659693436).

71608766400 is an abundant number, since it is smaller than the sum of its proper divisors (187710620472).

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

71608766400 is a wasteful number, since it uses less digits than its factorization.

71608766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93908 (or 93890 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 71608766400 in words is "seventy-one billion, six hundred eight million, seven hundred sixty-six thousand, four hundred".