86743641600 has 1620 divisors, whose sum is σ = 400052644992. Its totient is φ = 17882726400.

The previous prime is 86743641587. The next prime is 86743641631. The reversal of 86743641600 is 614634768.

It is a happy number.

86743641600 is a `hidden beast` number, since 8 + 6 + 7 + 4 + 36 + 4 + 1 + 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 161 ways as a sum of consecutive naturals, for example, 683020737 + ... + 683020863.

Almost surely, 2^86743641600 is an apocalyptic number.

86743641600 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 86743641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200026322496).

86743641600 is an abundant number, since it is smaller than the sum of its proper divisors (313309003392).

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

86743641600 is a wasteful number, since it uses less digits than its factorization.

86743641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 86743641600 in words is "eighty-six billion, seven hundred forty-three million, six hundred forty-one thousand, six hundred".