71820574560 has 1728 divisors, whose sum is σ = 332149289472. Its totient is φ = 14296891392.

The previous prime is 71820574549. The next prime is 71820574583. The reversal of 71820574560 is 6547502817.

71820574560 is a `hidden beast` number, since 7 + 1 + 8 + 20 + 574 + 56 + 0 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1670245899 + ... + 1670245941.

It is an arithmetic number, because the mean of its divisors is an integer number (192216024).

Almost surely, 2^71820574560 is an apocalyptic number.

71820574560 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 71820574560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166074644736).

71820574560 is an abundant number, since it is smaller than the sum of its proper divisors (260328714912).

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

71820574560 is a wasteful number, since it uses less digits than its factorization.

71820574560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 71820574560 in words is "seventy-one billion, eight hundred twenty million, five hundred seventy-four thousand, five hundred sixty".