1004806703880 has 768 divisors, whose sum is σ = 3956194344960. Its totient is φ = 216334540800.

The previous prime is 1004806703851. The next prime is 1004806703939. The reversal of 1004806703880 is 883076084001.

1004806703880 is a `hidden beast` number, since 1 + 0 + 0 + 480 + 67 + 0 + 38 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 774715392 + ... + 774716688.

It is an arithmetic number, because the mean of its divisors is an integer number (5151294720).

Almost surely, 2^{1004806703880} is an apocalyptic number.

1004806703880 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 1004806703880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978097172480).

1004806703880 is an abundant number, since it is smaller than the sum of its proper divisors (2951387641080).

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

1004806703880 is a wasteful number, since it uses less digits than its factorization.

1004806703880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1004806703880 in words is "one trillion, four billion, eight hundred six million, seven hundred three thousand, eight hundred eighty".