60827824680 has 256 divisors, whose sum is σ = 214079362560. Its totient is φ = 13536460800.

The previous prime is 60827824663. The next prime is 60827824703. The reversal of 60827824680 is 8642872806.

60827824680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19870350 + ... + 19873410.

It is an arithmetic number, because the mean of its divisors is an integer number (836247510).

Almost surely, 2^60827824680 is an apocalyptic number.

60827824680 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 60827824680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107039681280).

60827824680 is an abundant number, since it is smaller than the sum of its proper divisors (153251537880).

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

60827824680 is a wasteful number, since it uses less digits than its factorization.

60827824680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 60827824680 in words is "sixty billion, eight hundred twenty-seven million, eight hundred twenty-four thousand, six hundred eighty".