11674040760 has 768 divisors, whose sum is σ = 44834549760. Its totient is φ = 2717245440.

The previous prime is 11674040753. The next prime is 11674040789. The reversal of 11674040760 is 6704047611.

It is a super-2 number, since 2×11674040760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 220264894 + ... + 220264946.

It is an arithmetic number, because the mean of its divisors is an integer number (58378320).

Almost surely, 2^11674040760 is an apocalyptic number.

11674040760 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 11674040760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22417274880).

11674040760 is an abundant number, since it is smaller than the sum of its proper divisors (33160509000).

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

11674040760 is a wasteful number, since it uses less digits than its factorization.

11674040760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 11674040760 in words is "eleven billion, six hundred seventy-four million, forty thousand, seven hundred sixty".