62087947680 has 768 divisors, whose sum is σ = 236626790400. Its totient is φ = 13516554240.

The previous prime is 62087947631. The next prime is 62087947693. The reversal of 62087947680 is 8674978026.

It is a super-3 number, since 3×62087947680³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 62087947680.

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, 159608926 + ... + 159609314.

It is an arithmetic number, because the mean of its divisors is an integer number (308107800).

Almost surely, 2^62087947680 is an apocalyptic number.

62087947680 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 62087947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118313395200).

62087947680 is an abundant number, since it is smaller than the sum of its proper divisors (174538842720).

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

62087947680 is a wasteful number, since it uses less digits than its factorization.

62087947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 62087947680 in words is "sixty-two billion, eighty-seven million, nine hundred forty-seven thousand, six hundred eighty".