11476462720 has 256 divisors, whose sum is σ = 29611008000. Its totient is φ = 4243599360.

The previous prime is 11476462667. The next prime is 11476462747. The reversal of 11476462720 is 2726467411.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82564411 + ... + 82564549.

It is an arithmetic number, because the mean of its divisors is an integer number (115668000).

Almost surely, 2^11476462720 is an apocalyptic number.

11476462720 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 11476462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805504000).

11476462720 is an abundant number, since it is smaller than the sum of its proper divisors (18134545280).

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

11476462720 is a wasteful number, since it uses less digits than its factorization.

11476462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 11476462720 in words is "eleven billion, four hundred seventy-six million, four hundred sixty-two thousand, seven hundred twenty".