71963711820 has 1728 divisors, whose sum is σ = 327116160000. Its totient is φ = 13076743680.

The previous prime is 71963711797. The next prime is 71963711821. The reversal of 71963711820 is 2811736917.

71963711820 is a `hidden beast` number, since 7 + 1 + 9 + 637 + 1 + 1 + 8 + 2 + 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 not an unprimeable number, because it can be changed into a prime (71963711821) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3787563771 + ... + 3787563789.

Almost surely, 2^71963711820 is an apocalyptic number.

71963711820 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 71963711820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163558080000).

71963711820 is an abundant number, since it is smaller than the sum of its proper divisors (255152448180).

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

71963711820 is a wasteful number, since it uses less digits than its factorization.

71963711820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 71963711820 in words is "seventy-one billion, nine hundred sixty-three million, seven hundred eleven thousand, eight hundred twenty".