71029620480 has 1152 divisors, whose sum is σ = 295372062720. Its totient is φ = 14146928640.

The previous prime is 71029620457. The next prime is 71029620481. The reversal of 71029620480 is 8402692017.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71029620481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 855778519 + ... + 855778601.

It is an arithmetic number, because the mean of its divisors is an integer number (256399360).

Almost surely, 2^71029620480 is an apocalyptic number.

71029620480 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 71029620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147686031360).

71029620480 is an abundant number, since it is smaller than the sum of its proper divisors (224342442240).

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

71029620480 is a wasteful number, since it uses less digits than its factorization.

71029620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 71029620480 in words is "seventy-one billion, twenty-nine million, six hundred twenty thousand, four hundred eighty".