662112536064 has 640 divisors, whose sum is σ = 2171732428800. Its totient is φ = 178827264000.

The previous prime is 662112536017. The next prime is 662112536077. The reversal of 662112536064 is 460635211266.

It is a super-2 number, since 2×662112536064² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1223867634 + ... + 1223868174.

It is an arithmetic number, because the mean of its divisors is an integer number (3393331920).

Almost surely, 2^662112536064 is an apocalyptic number.

662112536064 is a gapful number since it is divisible by the number (64) 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 662112536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085866214400).

662112536064 is an abundant number, since it is smaller than the sum of its proper divisors (1509619892736).

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

662112536064 is a wasteful number, since it uses less digits than its factorization.

662112536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 662112536064 in words is "six hundred sixty-two billion, one hundred twelve million, five hundred thirty-six thousand, sixty-four".