11673677400 has 384 divisors, whose sum is σ = 46679155200. Its totient is φ = 2341785600.

The previous prime is 11673677383. The next prime is 11673677441. The reversal of 11673677400 is 477637611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1335444 + ... + 1344156.

It is an arithmetic number, because the mean of its divisors is an integer number (121560300).

Almost surely, 2^11673677400 is an apocalyptic number.

11673677400 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 11673677400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23339577600).

11673677400 is an abundant number, since it is smaller than the sum of its proper divisors (35005477800).

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

11673677400 is a wasteful number, since it uses less digits than its factorization.

11673677400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8779 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 11673677400 in words is "eleven billion, six hundred seventy-three million, six hundred seventy-seven thousand, four hundred".