71449620480 has 936 divisors, whose sum is σ = 299786275152. Its totient is φ = 16275603456.

The previous prime is 71449620461. The next prime is 71449620509. The reversal of 71449620480 is 8402694417.

71449620480 is a `hidden beast` number, since 7 + 14 + 4 + 9 + 620 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243855214 + ... + 243855506.

It is an arithmetic number, because the mean of its divisors is an integer number (320284482).

Almost surely, 2^71449620480 is an apocalyptic number.

71449620480 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 71449620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149893137576).

71449620480 is an abundant number, since it is smaller than the sum of its proper divisors (228336654672).

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

71449620480 is an equidigital number, since it uses as much as digits as its factorization.

71449620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 71449620480 in words is "seventy-one billion, four hundred forty-nine million, six hundred twenty thousand, four hundred eighty".