1780460898480 has 480 divisors, whose sum is σ = 6749614872000. Its totient is φ = 431068999680.

The previous prime is 1780460898449. The next prime is 1780460898497. The reversal of 1780460898480 is 848980640871.

1780460898480 is a `hidden beast` number, since 1 + 7 + 8 + 0 + 4 + 60 + 8 + 98 + 480 = 666.

It is a super-2 number, since 2×1780460898480² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223981546 + ... + 223989494.

It is an arithmetic number, because the mean of its divisors is an integer number (14061697650).

Almost surely, 2^{1780460898480} is an apocalyptic number.

1780460898480 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 1780460898480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374807436000).

1780460898480 is an abundant number, since it is smaller than the sum of its proper divisors (4969153973520).

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

1780460898480 is a wasteful number, since it uses less digits than its factorization.

1780460898480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8850 (or 8827 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 1780460898480 in words is "one trillion, seven hundred eighty billion, four hundred sixty million, eight hundred ninety-eight thousand, four hundred eighty".