862166600064 has 960 divisors, whose sum is σ = 3235746571200. Its totient is φ = 218399569920.

The previous prime is 862166600051. The next prime is 862166600077. The reversal of 862166600064 is 460006661268.

It is an interprime number because it is at equal distance from previous prime (862166600051) and next prime (862166600077).

It is a junction number, because it is equal to n+sod(n) for n = 862166599992 and 862166600019.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1308294967 + ... + 1308295625.

It is an arithmetic number, because the mean of its divisors is an integer number (3370569345).

Almost surely, 2^862166600064 is an apocalyptic number.

862166600064 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 862166600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617873285600).

862166600064 is an abundant number, since it is smaller than the sum of its proper divisors (2373579971136).

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

862166600064 is a wasteful number, since it uses less digits than its factorization.

862166600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 862166600064 in words is "eight hundred sixty-two billion, one hundred sixty-six million, six hundred thousand, sixty-four".