68521761000 has 1024 divisors, whose sum is σ = 309248409600. Its totient is φ = 13609728000.

The previous prime is 68521760999. The next prime is 68521761001. The reversal of 68521761000 is 16712586.

68521761000 is a `hidden beast` number, since 68 + 521 + 76 + 1 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68521760999) and next prime (68521761001).

It is a super-2 number, since 2×68521761000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68521761001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47816284 + ... + 47817716.

It is an arithmetic number, because the mean of its divisors is an integer number (302000400).

Almost surely, 2^68521761000 is an apocalyptic number.

68521761000 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 68521761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154624204800).

68521761000 is an abundant number, since it is smaller than the sum of its proper divisors (240726648600).

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

68521761000 is a wasteful number, since it uses less digits than its factorization.

68521761000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 68521761000 in words is "sixty-eight billion, five hundred twenty-one million, seven hundred sixty-one thousand".