81758303964 has 192 divisors, whose sum is σ = 229200814080. Its totient is φ = 25129336320.

The previous prime is 81758303927. The next prime is 81758303999. The reversal of 81758303964 is 46930385718.

81758303964 is a `hidden beast` number, since 8 + 175 + 83 + 0 + 396 + 4 = 666.

It is a super-2 number, since 2×81758303964² (a number of 23 digits) contains 22 as substring.

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 81758303964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21328192 + ... + 21332024.

It is an arithmetic number, because the mean of its divisors is an integer number (1193754240).

Almost surely, 2^81758303964 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 81758303964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114600407040).

81758303964 is an abundant number, since it is smaller than the sum of its proper divisors (147442510116).

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

81758303964 is a wasteful number, since it uses less digits than its factorization.

81758303964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 81758303964 in words is "eighty-one billion, seven hundred fifty-eight million, three hundred three thousand, nine hundred sixty-four".