11673437736960 has 624 divisors, whose sum is σ = 43499446997760. Its totient is φ = 2886291947520.

The previous prime is 11673437736949. The next prime is 11673437736973. The reversal of 11673437736960 is 6963773437611.

11673437736960 is a `hidden beast` number, since 1 + 1 + 6 + 73 + 437 + 73 + 6 + 9 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164562300 + ... + 164633220.

It is an arithmetic number, because the mean of its divisors is an integer number (69710652240).

Almost surely, 2^{11673437736960} is an apocalyptic number.

11673437736960 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 11673437736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21749723498880).

11673437736960 is an abundant number, since it is smaller than the sum of its proper divisors (31826009260800).

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

11673437736960 is a wasteful number, since it uses less digits than its factorization.

11673437736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71022 (or 70997 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 63.

The spelling of 11673437736960 in words is "eleven trillion, six hundred seventy-three billion, four hundred thirty-seven million, seven hundred thirty-six thousand, nine hundred sixty".