1007649667008 has 672 divisors, whose sum is σ = 3289197749760. Its totient is φ = 293343068160.

The previous prime is 1007649666997. The next prime is 1007649667043. The reversal of 1007649667008 is 8007669467001.

It is a happy number.

1007649667008 is a `hidden beast` number, since 10 + 0 + 76 + 496 + 6 + 70 + 0 + 8 = 666.

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, 819893338 + ... + 819894566.

Almost surely, 2^{1007649667008} is an apocalyptic number.

1007649667008 is a gapful number since it is divisible by the number (18) 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 1007649667008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644598874880).

1007649667008 is an abundant number, since it is smaller than the sum of its proper divisors (2281548082752).

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

1007649667008 is a wasteful number, since it uses less digits than its factorization.

1007649667008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1007649667008 in words is "one trillion, seven billion, six hundred forty-nine million, six hundred sixty-seven thousand, eight".