1842601676664 has 128 divisors (see below), whose sum is σ = 5312305152000. Its totient is φ = 521686738944.

The previous prime is 1842601676639. The next prime is 1842601676711. The reversal of 1842601676664 is 4666761062481.

It is a happy number.

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, 133621482 + ... + 133635270.

It is an arithmetic number, because the mean of its divisors is an integer number (41502384000).

Almost surely, 2^{1842601676664} is an apocalyptic number.

1842601676664 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 1842601676664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656152576000).

1842601676664 is an abundant number, since it is smaller than the sum of its proper divisors (3469703475336).

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

1842601676664 is a wasteful number, since it uses less digits than its factorization.

1842601676664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20957 (or 20953 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 1842601676664 in words is "one trillion, eight hundred forty-two billion, six hundred one million, six hundred seventy-six thousand, six hundred sixty-four".