71397780480 has 1760 divisors, whose sum is σ = 314582304960. Its totient is φ = 15288238080.

The previous prime is 71397780431. The next prime is 71397780523. The reversal of 71397780480 is 8408779317.

71397780480 is a `hidden beast` number, since 7 + 1 + 3 + 97 + 78 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1741409260 + ... + 1741409300.

It is an arithmetic number, because the mean of its divisors is an integer number (178739946).

Almost surely, 2^71397780480 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 71397780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157291152480).

71397780480 is an abundant number, since it is smaller than the sum of its proper divisors (243184524480).

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

71397780480 is a wasteful number, since it uses less digits than its factorization.

71397780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 71397780480 in words is "seventy-one billion, three hundred ninety-seven million, seven hundred eighty thousand, four hundred eighty".