866304269424 has 640 divisors, whose sum is σ = 2915813376000. Its totient is φ = 243360460800.

The previous prime is 866304269401. The next prime is 866304269477. The reversal of 866304269424 is 424962403668.

866304269424 is a `hidden beast` number, since 86 + 6 + 30 + 426 + 94 + 24 = 666.

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 127 ways as a sum of consecutive naturals, for example, 2009986489 + ... + 2009986919.

It is an arithmetic number, because the mean of its divisors is an integer number (4555958400).

Almost surely, 2^866304269424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866304269424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457906688000).

866304269424 is an abundant number, since it is smaller than the sum of its proper divisors (2049509106576).

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

866304269424 is a wasteful number, since it uses less digits than its factorization.

866304269424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 866304269424 in words is "eight hundred sixty-six billion, three hundred four million, two hundred sixty-nine thousand, four hundred twenty-four".