906431679000 has 192 divisors, whose sum is σ = 3196945851840. Its totient is φ = 231205708800.

The previous prime is 906431678969. The next prime is 906431679107. The reversal of 906431679000 is 976134609.

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

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 1982449 + ... + 2396448.

It is an arithmetic number, because the mean of its divisors is an integer number (16650759645).

Almost surely, 2^906431679000 is an apocalyptic number.

906431679000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

906431679000 is an abundant number, since it is smaller than the sum of its proper divisors (2290514172840).

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

906431679000 is a wasteful number, since it uses less digits than its factorization.

906431679000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378947 (or 4378930 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 906431679000 in words is "nine hundred six billion, four hundred thirty-one million, six hundred seventy-nine thousand".