81629337600 has 504 divisors, whose sum is σ = 303586936380. Its totient is φ = 21767823360.

The previous prime is 81629337583. The next prime is 81629337607. The reversal of 81629337600 is 673392618.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

81629337600 is a `hidden beast` number, since 8 + 1 + 6 + 2 + 9 + 3 + 37 + 600 = 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 (81629337607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 16325867518 + ... + 16325867522.

Almost surely, 2^81629337600 is an apocalyptic number.

81629337600 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 81629337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151793468190).

81629337600 is an abundant number, since it is smaller than the sum of its proper divisors (221957598780).

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

81629337600 is an frugal number, since it uses more digits than its factorization.

81629337600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 81629337600 in words is "eighty-one billion, six hundred twenty-nine million, three hundred thirty-seven thousand, six hundred".