81704937600 has 1536 divisors, whose sum is σ = 372913632000. Its totient is φ = 17163878400.

The previous prime is 81704937553. The next prime is 81704937659. The reversal of 81704937600 is 673940718.

81704937600 is a `hidden beast` number, since 8 + 1 + 7 + 0 + 4 + 9 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210038206 + ... + 210038594.

Almost surely, 2^81704937600 is an apocalyptic number.

81704937600 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 81704937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186456816000).

81704937600 is an abundant number, since it is smaller than the sum of its proper divisors (291208694400).

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

81704937600 is a wasteful number, since it uses less digits than its factorization.

81704937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 81704937600 in words is "eighty-one billion, seven hundred four million, nine hundred thirty-seven thousand, six hundred".