1825735680 has 352 divisors, whose sum is σ = 6649966080. Its totient is φ = 474808320.

The previous prime is 1825735661. The next prime is 1825735693. The reversal of 1825735680 is 865375281.

1825735680 is a `hidden beast` number, since 1 + 82 + 5 + 7 + 3 + 568 + 0 = 666.

It is a super-4 number, since 4×1825735680⁴ (a number of 38 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6497140 + ... + 6497420.

Almost surely, 2^1825735680 is an apocalyptic number.

1825735680 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 1825735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324983040).

1825735680 is an abundant number, since it is smaller than the sum of its proper divisors (4824230400).

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

1825735680 is a wasteful number, since it uses less digits than its factorization.

1825735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1825735680 is about 42728.6283421315. The cubic root of 1825735680 is about 1222.2103796587.

It can be divided in two parts, 1825 and 735680, that added together give a triangular number (737505 = T₁₂₁₄).

The spelling of 1825735680 in words is "one billion, eight hundred twenty-five million, seven hundred thirty-five thousand, six hundred eighty".