866297678400 has 2016 divisors, whose sum is σ = 4083332935680. Its totient is φ = 173560320000.

The previous prime is 866297678381. The next prime is 866297678417. The reversal of 866297678400 is 4876792668.

866297678400 is a `hidden beast` number, since 86 + 6 + 2 + 97 + 67 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3196670265 + ... + 3196670535.

Almost surely, 2^866297678400 is an apocalyptic number.

866297678400 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 866297678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041666467840).

866297678400 is an abundant number, since it is smaller than the sum of its proper divisors (3217035257280).

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

866297678400 is a wasteful number, since it uses less digits than its factorization.

866297678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 866297678400 in words is "eight hundred sixty-six billion, two hundred ninety-seven million, six hundred seventy-eight thousand, four hundred".