1873098864 has 640 divisors, whose sum is σ = 7199539200. Its totient is φ = 452874240.

The previous prime is 1873098839. The next prime is 1873098881. The reversal of 1873098864 is 4688903781.

1873098864 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1873098864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35341462 + ... + 35341514.

It is an arithmetic number, because the mean of its divisors is an integer number (11249280).

Almost surely, 2^1873098864 is an apocalyptic number.

1873098864 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 1873098864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599769600).

1873098864 is an abundant number, since it is smaller than the sum of its proper divisors (5326440336).

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

1873098864 is a wasteful number, since it uses less digits than its factorization.

1873098864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

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

The square root of 1873098864 is about 43279.3121941650. The cubic root of 1873098864 is about 1232.6891313782.

The spelling of 1873098864 in words is "one billion, eight hundred seventy-three million, ninety-eight thousand, eight hundred sixty-four".