1007640268607 has 8 divisors (see below), whose sum is σ = 1151686556832. Its totient is φ = 863618400000.

The previous prime is 1007640268577. The next prime is 1007640268627. The reversal of 1007640268607 is 7068620467001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1007640268607 - 2⁶ = 1007640268543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007640268627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6016394 + ... + 6181607.

It is an arithmetic number, because the mean of its divisors is an integer number (143960819604).

Almost surely, 2^{1007640268607} is an apocalyptic number.

1007640268607 is a deficient number, since it is larger than the sum of its proper divisors (144046288225).

1007640268607 is a wasteful number, since it uses less digits than its factorization.

1007640268607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12209809.

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 1007640268607 in words is "one trillion, seven billion, six hundred forty million, two hundred sixty-eight thousand, six hundred seven".