406368060684768 has 576 divisors, whose sum is σ = 1429362714124800. Its totient is φ = 106642233815040.

The previous prime is 406368060684743. The next prime is 406368060684793. The reversal of 406368060684768 is 867486060863604.

406368060684768 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 6 + 8 + 0 + 606 + 8 + 4 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (406368060684743) and next prime (406368060684793).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 406368060684696 and 406368060684705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4271620563 + ... + 4271715693.

It is an arithmetic number, because the mean of its divisors is an integer number (2481532489800).

Almost surely, 2^{406368060684768} is an apocalyptic number.

406368060684768 is a gapful number since it is divisible by the number (48) 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 406368060684768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714681357062400).

406368060684768 is an abundant number, since it is smaller than the sum of its proper divisors (1022994653440032).

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

406368060684768 is a wasteful number, since it uses less digits than its factorization.

406368060684768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95975 (or 95964 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 72.

The spelling of 406368060684768 in words is "four hundred six trillion, three hundred sixty-eight billion, sixty million, six hundred eighty-four thousand, seven hundred sixty-eight".