62664888000 has 1344 divisors, whose sum is σ = 264409367040. Its totient is φ = 12856320000.

The previous prime is 62664887963. The next prime is 62664888001. The reversal of 62664888000 is 88846626.

It is a happy number.

62664888000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (62664888001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2021447985 + ... + 2021448015.

It is an arithmetic number, because the mean of its divisors is an integer number (196733160).

Almost surely, 2^62664888000 is an apocalyptic number.

62664888000 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 62664888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132204683520).

62664888000 is an abundant number, since it is smaller than the sum of its proper divisors (201744479040).

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

62664888000 is a wasteful number, since it uses less digits than its factorization.

62664888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 62664888000 in words is "sixty-two billion, six hundred sixty-four million, eight hundred eighty-eight thousand".