68420369520 has 400 divisors, whose sum is σ = 254407824000. Its totient is φ = 16990373376.

The previous prime is 68420369519. The next prime is 68420369527. The reversal of 68420369520 is 2596302486.

68420369520 is a `hidden beast` number, since 68 + 4 + 2 + 0 + 3 + 69 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68420369527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7259371 + ... + 7268789.

It is an arithmetic number, because the mean of its divisors is an integer number (636019560).

Almost surely, 2^68420369520 is an apocalyptic number.

68420369520 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 68420369520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127203912000).

68420369520 is an abundant number, since it is smaller than the sum of its proper divisors (185987454480).

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

68420369520 is a wasteful number, since it uses less digits than its factorization.

68420369520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9522 (or 9507 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 68420369520 in words is "sixty-eight billion, four hundred twenty million, three hundred sixty-nine thousand, five hundred twenty".