62412425905536 has 576 divisors, whose sum is σ = 222929063650800. Its totient is φ = 16662149038080.

The previous prime is 62412425905519. The next prime is 62412425905537. The reversal of 62412425905536 is 63550952421426.

62412425905536 is a `hidden beast` number, since 6 + 2 + 4 + 1 + 2 + 42 + 590 + 5 + 5 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62412425905537) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77894796 + ... + 78691956.

Almost surely, 2^{62412425905536} 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 62412425905536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111464531825400).

62412425905536 is an abundant number, since it is smaller than the sum of its proper divisors (160516637745264).

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

62412425905536 is a wasteful number, since it uses less digits than its factorization.

62412425905536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797287 (or 797265 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 62412425905536 in words is "sixty-two trillion, four hundred twelve billion, four hundred twenty-five million, nine hundred five thousand, five hundred thirty-six".