1007631262468 has 96 divisors (see below), whose sum is σ = 1930345095168. Its totient is φ = 458290944000.

The previous prime is 1007631262459. The next prime is 1007631262471. The reversal of 1007631262468 is 8642621367001.

It is a super-2 number, since 2×1007631262468² (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 530052318 + ... + 530054218.

It is an arithmetic number, because the mean of its divisors is an integer number (20107761408).

Almost surely, 2^{1007631262468} is an apocalyptic number.

It is an amenable number.

1007631262468 is a deficient number, since it is larger than the sum of its proper divisors (922713832700).

1007631262468 is a wasteful number, since it uses less digits than its factorization.

1007631262468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 1007631262468 in words is "one trillion, seven billion, six hundred thirty-one million, two hundred sixty-two thousand, four hundred sixty-eight".