1780477820464 has 160 divisors (see below), whose sum is σ = 4084973544960. Its totient is φ = 735954585600.

The previous prime is 1780477820461. The next prime is 1780477820503. The reversal of 1780477820464 is 4640287740871.

It is a junction number, because it is equal to n+sod(n) for n = 1780477820399 and 1780477820408.

It is not an unprimeable number, because it can be changed into a prime (1780477820461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161811987 + ... + 161822989.

It is an arithmetic number, because the mean of its divisors is an integer number (25531084656).

Almost surely, 2^{1780477820464} is an apocalyptic number.

1780477820464 is a gapful number since it is divisible by the number (14) 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 1780477820464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042486772480).

1780477820464 is an abundant number, since it is smaller than the sum of its proper divisors (2304495724496).

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

1780477820464 is a wasteful number, since it uses less digits than its factorization.

1780477820464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11459 (or 11453 counting only the distinct ones).

The product of its (nonzero) digits is 16859136, while the sum is 58.

The spelling of 1780477820464 in words is "one trillion, seven hundred eighty billion, four hundred seventy-seven million, eight hundred twenty thousand, four hundred sixty-four".