662828624640 has 1440 divisors, whose sum is σ = 2943765006336. Its totient is φ = 138669096960.

The previous prime is 662828624503. The next prime is 662828624651. The reversal of 662828624640 is 46426828266.

662828624640 is a `hidden beast` number, since 6 + 6 + 2 + 8 + 2 + 8 + 624 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1537885225 + ... + 1537885655.

Almost surely, 2^662828624640 is an apocalyptic number.

662828624640 is a gapful number since it is divisible by the number (60) 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 662828624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471882503168).

662828624640 is an abundant number, since it is smaller than the sum of its proper divisors (2280936381696).

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

662828624640 is a wasteful number, since it uses less digits than its factorization.

662828624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 662828624640 in words is "six hundred sixty-two billion, eight hundred twenty-eight million, six hundred twenty-four thousand, six hundred forty".