62525820672 has 432 divisors, whose sum is σ = 215407512320. Its totient is φ = 17718829056.

The previous prime is 62525820661. The next prime is 62525820683. The reversal of 62525820672 is 27602852526.

62525820672 is a `hidden beast` number, since 6 + 2 + 5 + 2 + 582 + 0 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (62525820661) and next prime (62525820683).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×62525820672³ (a number of 33 digits) contains 333 as substring.

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, 60527868 + ... + 60528900.

Almost surely, 2^62525820672 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 62525820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107703756160).

62525820672 is an abundant number, since it is smaller than the sum of its proper divisors (152881691648).

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

62525820672 is a wasteful number, since it uses less digits than its factorization.

62525820672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 62525820672 in words is "sixty-two billion, five hundred twenty-five million, eight hundred twenty thousand, six hundred seventy-two".