71390678400 has 576 divisors, whose sum is σ = 267140305200. Its totient is φ = 18849024000.

The previous prime is 71390678383. The next prime is 71390678459. The reversal of 71390678400 is 487609317.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 706838350 + ... + 706838450.

Almost surely, 2^71390678400 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 71390678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133570152600).

71390678400 is an abundant number, since it is smaller than the sum of its proper divisors (195749626800).

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

71390678400 is an frugal number, since it uses more digits than its factorization.

71390678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 71390678400 in words is "seventy-one billion, three hundred ninety million, six hundred seventy-eight thousand, four hundred".