1476986480640 has 864 divisors, whose sum is σ = 5923624543200. Its totient is φ = 339163545600.

The previous prime is 1476986480639. The next prime is 1476986480689. The reversal of 1476986480640 is 460846896741.

1476986480640 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 98 + 6 + 480 + 64 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211872355 + ... + 211879325.

It is an arithmetic number, because the mean of its divisors is an integer number (6856046925).

Almost surely, 2^{1476986480640} is an apocalyptic number.

1476986480640 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 1476986480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961812271600).

1476986480640 is an abundant number, since it is smaller than the sum of its proper divisors (4446638062560).

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

1476986480640 is a wasteful number, since it uses less digits than its factorization.

1476986480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 1476986480640 in words is "one trillion, four hundred seventy-six billion, nine hundred eighty-six million, four hundred eighty thousand, six hundred forty".