1476105744960 has 2016 divisors, whose sum is σ = 6673797411840. Its totient is φ = 295968153600.

The previous prime is 1476105744959. The next prime is 1476105744977. The reversal of 1476105744960 is 694475016741.

It is a happy number.

1476105744960 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 1 + 0 + 574 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 1476105744897 and 1476105744906.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6502668367 + ... + 6502668593.

Almost surely, 2^{1476105744960} is an apocalyptic number.

1476105744960 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 1476105744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336898705920).

1476105744960 is an abundant number, since it is smaller than the sum of its proper divisors (5197691666880).

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

1476105744960 is a wasteful number, since it uses less digits than its factorization.

1476105744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1476105744960 in words is "one trillion, four hundred seventy-six billion, one hundred five million, seven hundred forty-four thousand, nine hundred sixty".