13476074976 has 960 divisors, whose sum is σ = 53548830720. Its totient is φ = 3224862720.

The previous prime is 13476074971. The next prime is 13476075017. The reversal of 13476074976 is 67947067431.

13476074976 is a `hidden beast` number, since 13 + 476 + 0 + 74 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13476074971) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 138928560 + ... + 138928656.

It is an arithmetic number, because the mean of its divisors is an integer number (55780032).

Almost surely, 2^13476074976 is an apocalyptic number.

13476074976 is a gapful number since it is divisible by the number (16) 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 13476074976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26774415360).

13476074976 is an abundant number, since it is smaller than the sum of its proper divisors (40072755744).

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

13476074976 is a wasteful number, since it uses less digits than its factorization.

13476074976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 13476074976 in words is "thirteen billion, four hundred seventy-six million, seventy-four thousand, nine hundred seventy-six".