1868611680 has 288 divisors, whose sum is σ = 7123413024. Its totient is φ = 459841536.

The previous prime is 1868611673. The next prime is 1868611691. The reversal of 1868611680 is 861168681.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1868611680² = 6983419221264844800, 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503592 + ... + 507288.

It is an arithmetic number, because the mean of its divisors is an integer number (24734073).

Almost surely, 2^1868611680 is an apocalyptic number.

1868611680 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 1868611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561706512).

1868611680 is an abundant number, since it is smaller than the sum of its proper divisors (5254801344).

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

1868611680 is a wasteful number, since it uses less digits than its factorization.

1868611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1868611680 is about 43227.4412844434. The cubic root of 1868611680 is about 1231.7040034955.

The spelling of 1868611680 in words is "one billion, eight hundred sixty-eight million, six hundred eleven thousand, six hundred eighty".