1812919680 has 768 divisors, whose sum is σ = 7698862080. Its totient is φ = 387072000.

The previous prime is 1812919657. The next prime is 1812919687. The reversal of 1812919680 is 869192181.

It is a super-2 number, since 2×1812919680² = 6573355532262604800, which contains 22 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 not an unprimeable number, because it can be changed into a prime (1812919687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25534045 + ... + 25534115.

It is an arithmetic number, because the mean of its divisors is an integer number (10024560).

Almost surely, 2^1812919680 is an apocalyptic number.

1812919680 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 1812919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849431040).

1812919680 is an abundant number, since it is smaller than the sum of its proper divisors (5885942400).

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

1812919680 is a wasteful number, since it uses less digits than its factorization.

1812919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 1812919680 is about 42578.3945211653. The cubic root of 1812919680 is about 1219.3438377841.

The spelling of 1812919680 in words is "one billion, eight hundred twelve million, nine hundred nineteen thousand, six hundred eighty".