1486678976640 has 896 divisors, whose sum is σ = 6260572140480. Its totient is φ = 332668477440.

The previous prime is 1486678976639. The next prime is 1486678976659. The reversal of 1486678976640 is 466798766841.

1486678976640 is a `hidden beast` number, since 1 + 486 + 6 + 7 + 89 + 7 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 66706939 + ... + 66729221.

Almost surely, 2^{1486678976640} is an apocalyptic number.

1486678976640 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 1486678976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130286070240).

1486678976640 is an abundant number, since it is smaller than the sum of its proper divisors (4773893163840).

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

1486678976640 is a wasteful number, since it uses less digits than its factorization.

1486678976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22344 (or 22317 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 1486678976640 in words is "one trillion, four hundred eighty-six billion, six hundred seventy-eight million, nine hundred seventy-six thousand, six hundred forty".