1780491847680 has 1296 divisors, whose sum is σ = 7776341167140. Its totient is φ = 375503192064.

The previous prime is 1780491847633. The next prime is 1780491847699. The reversal of 1780491847680 is 867481940871.

1780491847680 is a `hidden beast` number, since 1 + 7 + 8 + 0 + 491 + 84 + 7 + 68 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 103611884544 + 1676879963136 = 321888^2 + 1294944^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 763175794 + ... + 763178126.

Almost surely, 2^{1780491847680} is an apocalyptic number.

1780491847680 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 1780491847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888170583570).

1780491847680 is an abundant number, since it is smaller than the sum of its proper divisors (5995849319460).

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

1780491847680 is a wasteful number, since it uses less digits than its factorization.

1780491847680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 1780491847680 in words is "one trillion, seven hundred eighty billion, four hundred ninety-one million, eight hundred forty-seven thousand, six hundred eighty".