62561664000 has 528 divisors, whose sum is σ = 245990380896. Its totient is φ = 15163392000.

The previous prime is 62561663999. The next prime is 62561664023. The reversal of 62561664000 is 46616526.

It is a happy number.

62561664000 is a `hidden beast` number, since 6 + 2 + 5 + 6 + 1 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12669532 + ... + 12674468.

Almost surely, 2^62561664000 is an apocalyptic number.

62561664000 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 62561664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122995190448).

62561664000 is an abundant number, since it is smaller than the sum of its proper divisors (183428716896).

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

62561664000 is a wasteful number, since it uses less digits than its factorization.

62561664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 62561664000 in words is "sixty-two billion, five hundred sixty-one million, six hundred sixty-four thousand".