62500632318432 has 2016 divisors, whose sum is σ = 245353100428800. Its totient is φ = 15291291248640.

The previous prime is 62500632318427. The next prime is 62500632318473. The reversal of 62500632318432 is 23481323600526.

62500632318432 is a `hidden beast` number, since 6 + 2 + 5 + 0 + 0 + 632 + 3 + 1 + 8 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 85970608053 + ... + 85970608779.

It is an arithmetic number, because the mean of its divisors is an integer number (121702926800).

Almost surely, 2^{62500632318432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62500632318432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122676550214400).

62500632318432 is an abundant number, since it is smaller than the sum of its proper divisors (182852468110368).

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

62500632318432 is a wasteful number, since it uses less digits than its factorization.

62500632318432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

Adding to 62500632318432 its reverse (23481323600526), we get a palindrome (85981955918958).

The spelling of 62500632318432 in words is "sixty-two trillion, five hundred billion, six hundred thirty-two million, three hundred eighteen thousand, four hundred thirty-two".