1840061664 has 192 divisors, whose sum is σ = 6157670400. Its totient is φ = 523666944.

The previous prime is 1840061653. The next prime is 1840061683. The reversal of 1840061664 is 4661600481.

1840061664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2219202 + ... + 2220030.

It is an arithmetic number, because the mean of its divisors is an integer number (32071200).

Almost surely, 2^1840061664 is an apocalyptic number.

1840061664 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 1840061664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078835200).

1840061664 is an abundant number, since it is smaller than the sum of its proper divisors (4317608736).

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

1840061664 is a wasteful number, since it uses less digits than its factorization.

1840061664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1840061664 is about 42895.9399477386. The cubic root of 1840061664 is about 1225.3988236879.

The spelling of 1840061664 in words is "one billion, eight hundred forty million, sixty-one thousand, six hundred sixty-four".