71462196864 has 480 divisors, whose sum is σ = 228861038340. Its totient is φ = 22126141440.

The previous prime is 71462196859. The next prime is 71462196877. The reversal of 71462196864 is 46869126417.

71462196864 is a `hidden beast` number, since 7 + 1 + 4 + 621 + 9 + 6 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44960961600 + 26501235264 = 212040^2 + 162792^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 71462196864.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 228313572 + ... + 228313884.

Almost surely, 2^71462196864 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 71462196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114430519170).

71462196864 is an abundant number, since it is smaller than the sum of its proper divisors (157398841476).

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

71462196864 is a wasteful number, since it uses less digits than its factorization.

71462196864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 398 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 71462196864 in words is "seventy-one billion, four hundred sixty-two million, one hundred ninety-six thousand, eight hundred sixty-four".