1868642058240 has 680 divisors, whose sum is σ = 6992937740448. Its totient is φ = 476483420160.

The previous prime is 1868642058223. The next prime is 1868642058277. The reversal of 1868642058240 is 428502468681.

1868642058240 is a `hidden beast` number, since 18 + 6 + 8 + 6 + 4 + 2 + 0 + 582 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 610466310 + ... + 610469370.

Almost surely, 2^{1868642058240} is an apocalyptic number.

1868642058240 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 1868642058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496468870224).

1868642058240 is an abundant number, since it is smaller than the sum of its proper divisors (5124295682208).

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

1868642058240 is an frugal number, since it uses more digits than its factorization.

1868642058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 1868642058240 in words is "one trillion, eight hundred sixty-eight billion, six hundred forty-two million, fifty-eight thousand, two hundred forty".