81675697600 has 336 divisors, whose sum is σ = 248396101632. Its totient is φ = 25792266240.

The previous prime is 81675697591. The next prime is 81675697603. The reversal of 81675697600 is 679657618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81675697603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8944237 + ... + 8953363.

It is an arithmetic number, because the mean of its divisors is an integer number (739274112).

Almost surely, 2^81675697600 is an apocalyptic number.

81675697600 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 81675697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124198050816).

81675697600 is an abundant number, since it is smaller than the sum of its proper divisors (166720404032).

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

81675697600 is a wasteful number, since it uses less digits than its factorization.

81675697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9220 (or 9205 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 81675697600 in words is "eighty-one billion, six hundred seventy-five million, six hundred ninety-seven thousand, six hundred".