68476949006400 has 567 divisors, whose sum is σ = 267563106601063. Its totient is φ = 16597824460800.

The previous prime is 68476949006359. The next prime is 68476949006447. The reversal of 68476949006400 is 460094967486.

The square root of 68476949006400 is 8275080.

It is a perfect power (a square), and thus also a powerful number.

68476949006400 is a `hidden beast` number, since 6 + 8 + 47 + 69 + 490 + 0 + 6 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7147751966784 + 61329197039616 = 2673528^2 + 7831296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10923102466 + ... + 10923108734.

Almost surely, 2^{68476949006400} is an apocalyptic number.

68476949006400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

68476949006400 is the 8275080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68476949006400

68476949006400 is an abundant number, since it is smaller than the sum of its proper divisors (199086157594663).

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

68476949006400 is an equidigital number, since it uses as much as digits as its factorization.

68476949006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12588 (or 6290 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 68476949006400 in words is "sixty-eight trillion, four hundred seventy-six billion, nine hundred forty-nine million, six thousand, four hundred".