81462775680 has 1536 divisors, whose sum is σ = 355081910400. Its totient is φ = 17736744960.

The previous prime is 81462775661. The next prime is 81462775741. The reversal of 81462775680 is 8657726418.

81462775680 is a `hidden beast` number, since 8 + 1 + 4 + 6 + 2 + 77 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2201696622 + ... + 2201696658.

Almost surely, 2^81462775680 is an apocalyptic number.

81462775680 is a gapful number since it is divisible by the number (80) 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 81462775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177540955200).

81462775680 is an abundant number, since it is smaller than the sum of its proper divisors (273619134720).

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

81462775680 is a wasteful number, since it uses less digits than its factorization.

81462775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 81462775680 in words is "eighty-one billion, four hundred sixty-two million, seven hundred seventy-five thousand, six hundred eighty".