863292401664 has 768 divisors, whose sum is σ = 2975761152000. Its totient is φ = 216052531200.

The previous prime is 863292401563. The next prime is 863292401729. The reversal of 863292401664 is 466104292368.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2608133979 + ... + 2608134309.

It is an arithmetic number, because the mean of its divisors is an integer number (3874689000).

Almost surely, 2^863292401664 is an apocalyptic number.

863292401664 is a gapful number since it is divisible by the number (84) 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 863292401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487880576000).

863292401664 is an abundant number, since it is smaller than the sum of its proper divisors (2112468750336).

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

863292401664 is a wasteful number, since it uses less digits than its factorization.

863292401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 863292401664 in words is "eight hundred sixty-three billion, two hundred ninety-two million, four hundred one thousand, six hundred sixty-four".