62527788960 has 768 divisors, whose sum is σ = 255722987520. Its totient is φ = 12481413120.

The previous prime is 62527788929. The next prime is 62527788989. The reversal of 62527788960 is 6988772526.

It is a super-3 number, since 3×62527788960³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 62527788894 and 62527788903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109505475 + ... + 109506045.

It is an arithmetic number, because the mean of its divisors is an integer number (332972640).

Almost surely, 2^62527788960 is an apocalyptic number.

62527788960 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 62527788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127861493760).

62527788960 is an abundant number, since it is smaller than the sum of its proper divisors (193195198560).

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

62527788960 is a wasteful number, since it uses less digits than its factorization.

62527788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 62527788960 in words is "sixty-two billion, five hundred twenty-seven million, seven hundred eighty-eight thousand, nine hundred sixty".