406761463368 has 1536 divisors, whose sum is σ = 1505193984000. Its totient is φ = 100508221440.

The previous prime is 406761463327. The next prime is 406761463397. The reversal of 406761463368 is 863364167604.

406761463368 is a `hidden beast` number, since 4 + 0 + 67 + 61 + 463 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 10993553046 + ... + 10993553082.

It is an arithmetic number, because the mean of its divisors is an integer number (979944000).

Almost surely, 2^406761463368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406761463368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752596992000).

406761463368 is an abundant number, since it is smaller than the sum of its proper divisors (1098432520632).

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

406761463368 is a wasteful number, since it uses less digits than its factorization.

406761463368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 406761463368 in words is "four hundred six billion, seven hundred sixty-one million, four hundred sixty-three thousand, three hundred sixty-eight".