11676450400 has 72 divisors (see below), whose sum is σ = 28520440200. Its totient is φ = 4668072960.

The previous prime is 11676450397. The next prime is 11676450403. The reversal of 11676450400 is 405467611.

It is an interprime number because it is at equal distance from previous prime (11676450397) and next prime (11676450403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11676450403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2436807 + ... + 2441593.

It is an arithmetic number, because the mean of its divisors is an integer number (396117225).

Almost surely, 2^11676450400 is an apocalyptic number.

11676450400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11676450400 is an abundant number, since it is smaller than the sum of its proper divisors (16843989800).

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

11676450400 is a wasteful number, since it uses less digits than its factorization.

11676450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7856 (or 7843 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 11676450400 in words is "eleven billion, six hundred seventy-six million, four hundred fifty thousand, four hundred".