1726480435680 has 3456 divisors, whose sum is σ = 8639210151936. Its totient is φ = 314424115200.

The previous prime is 1726480435657. The next prime is 1726480435681. The reversal of 1726480435680 is 865340846271.

It is a happy number.

1726480435680 is a `hidden beast` number, since 1 + 72 + 6 + 4 + 8 + 0 + 4 + 3 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1726480435681) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 32575102534 + ... + 32575102586.

It is an arithmetic number, because the mean of its divisors is an integer number (2499771456).

Almost surely, 2^{1726480435680} is an apocalyptic number.

1726480435680 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 1726480435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319605075968).

1726480435680 is an abundant number, since it is smaller than the sum of its proper divisors (6912729716256).

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

1726480435680 is a wasteful number, since it uses less digits than its factorization.

1726480435680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

It can be divided in two parts, 1726480 and 435680, that added together give a triangular number (2162160 = T₂₀₇₉).

The spelling of 1726480435680 in words is "one trillion, seven hundred twenty-six billion, four hundred eighty million, four hundred thirty-five thousand, six hundred eighty".