412673264640 has 1584 divisors, whose sum is σ = 1898970327072. Its totient is φ = 81848696832.

The previous prime is 412673264629. The next prime is 412673264737. The reversal of 412673264640 is 46462376214.

412673264640 is a `hidden beast` number, since 4 + 1 + 267 + 326 + 4 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 498999907 + ... + 499000733.

Almost surely, 2^412673264640 is an apocalyptic number.

412673264640 is a gapful number since it is divisible by the number (40) 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 412673264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949485163536).

412673264640 is an abundant number, since it is smaller than the sum of its proper divisors (1486297062432).

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

412673264640 is a wasteful number, since it uses less digits than its factorization.

412673264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 412673264640 in words is "four hundred twelve billion, six hundred seventy-three million, two hundred sixty-four thousand, six hundred forty".