1807664091840 has 784 divisors, whose sum is σ = 6814776129120. Its totient is φ = 455243120640.

The previous prime is 1807664091817. The next prime is 1807664091889. The reversal of 1807664091840 is 481904667081.

1807664091840 is a `hidden beast` number, since 180 + 7 + 6 + 6 + 409 + 18 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2734741110 + ... + 2734741770.

Almost surely, 2^{1807664091840} is an apocalyptic number.

1807664091840 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 1807664091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407388064560).

1807664091840 is an abundant number, since it is smaller than the sum of its proper divisors (5007112037280).

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

1807664091840 is an equidigital number, since it uses as much as digits as its factorization.

1807664091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1807664091840 in words is "one trillion, eight hundred seven billion, six hundred sixty-four million, ninety-one thousand, eight hundred forty".