1007645678676 has 216 divisors, whose sum is σ = 3206927068800. Its totient is φ = 264416068224.

The previous prime is 1007645678659. The next prime is 1007645678687. The reversal of 1007645678676 is 6768765467001.

It is a happy number.

1007645678676 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 6 + 4 + 567 + 8 + 67 + 6 = 666.

It is a super-2 number, since 2×1007645678676² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4453065 + ... + 4673871.

Almost surely, 2^{1007645678676} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007645678676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603463534400).

1007645678676 is an abundant number, since it is smaller than the sum of its proper divisors (2199281390124).

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

1007645678676 is a wasteful number, since it uses less digits than its factorization.

1007645678676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221043 (or 221031 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 1007645678676 in words is "one trillion, seven billion, six hundred forty-five million, six hundred seventy-eight thousand, six hundred seventy-six".