662612161536000 has 4480 divisors, whose sum is σ = 2816281523607552. Its totient is φ = 153837895680000.

The previous prime is 662612161535993. The next prime is 662612161536001. The reversal of 662612161536000 is 635161216266.

662612161536000 is a `hidden beast` number, since 6 + 6 + 2 + 6 + 1 + 21 + 6 + 15 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (662612161536001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1437336575770 + ... + 1437336576230.

Almost surely, 2^{662612161536000} is an apocalyptic number.

662612161536000 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 662612161536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408140761803776).

662612161536000 is an abundant number, since it is smaller than the sum of its proper divisors (2153669362071552).

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

662612161536000 is a wasteful number, since it uses less digits than its factorization.

662612161536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 662612161536000 in words is "six hundred sixty-two trillion, six hundred twelve billion, one hundred sixty-one million, five hundred thirty-six thousand".