1009671763660 has 192 divisors, whose sum is σ = 2596059648000. Its totient is φ = 322136974080.

The previous prime is 1009671763531. The next prime is 1009671763691. The reversal of 1009671763660 is 663671769001.

It is a junction number, because it is equal to n+sod(n) for n = 1009671763598 and 1009671763607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 334437631 + ... + 334440649.

It is an arithmetic number, because the mean of its divisors is an integer number (13521144000).

Almost surely, 2^{1009671763660} is an apocalyptic number.

1009671763660 is a gapful number since it is divisible by the number (10) 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 1009671763660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298029824000).

1009671763660 is an abundant number, since it is smaller than the sum of its proper divisors (1586387884340).

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

1009671763660 is a wasteful number, since it uses less digits than its factorization.

1009671763660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 1009671763660 in words is "one trillion, nine billion, six hundred seventy-one million, seven hundred sixty-three thousand, six hundred sixty".