62538448896 has 952 divisors, whose sum is σ = 247554321984. Its totient is φ = 15288238080.

The previous prime is 62538448823. The next prime is 62538448937. The reversal of 62538448896 is 69884483526.

62538448896 is a `hidden beast` number, since 6 + 2 + 538 + 4 + 4 + 8 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (952).

It is a super-2 number, since 2×62538448896² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (79626240) is a multiple of the sum of its prime divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3678732280 + ... + 3678732296.

Almost surely, 2^62538448896 is an apocalyptic number.

62538448896 is a gapful number since it is divisible by the number (66) 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 62538448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123777160992).

62538448896 is an abundant number, since it is smaller than the sum of its proper divisors (185015873088).

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

62538448896 is an frugal number, since it uses more digits than its factorization.

62538448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 62538448896 in words is "sixty-two billion, five hundred thirty-eight million, four hundred forty-eight thousand, eight hundred ninety-six".