866994710400 has 2880 divisors, whose sum is σ = 4121771346000. Its totient is φ = 177805393920.

The previous prime is 866994710357. The next prime is 866994710479. The reversal of 866994710400 is 4017499668.

866994710400 is a `hidden beast` number, since 86 + 6 + 9 + 94 + 71 + 0 + 400 = 666.

866994710400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 9741513556 + ... + 9741513644.

Almost surely, 2^866994710400 is an apocalyptic number.

866994710400 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 866994710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060885673000).

866994710400 is an abundant number, since it is smaller than the sum of its proper divisors (3254776635600).

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

866994710400 is a wasteful number, since it uses less digits than its factorization.

866994710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 866994710400 in words is "eight hundred sixty-six billion, nine hundred ninety-four million, seven hundred ten thousand, four hundred".