1868976720 has 320 divisors, whose sum is σ = 7012051200. Its totient is φ = 454809600.

The previous prime is 1868976713. The next prime is 1868976737. The reversal of 1868976720 is 276798681.

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 63 ways as a sum of consecutive naturals, for example, 2835751 + ... + 2836409.

It is an arithmetic number, because the mean of its divisors is an integer number (21912660).

Almost surely, 2^1868976720 is an apocalyptic number.

1868976720 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 1868976720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506025600).

1868976720 is an abundant number, since it is smaller than the sum of its proper divisors (5143074480).

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

1868976720 is a wasteful number, since it uses less digits than its factorization.

1868976720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 1868976720 is about 43231.6633961729. The cubic root of 1868976720 is about 1231.7842042062.

The spelling of 1868976720 in words is "one billion, eight hundred sixty-eight million, nine hundred seventy-six thousand, seven hundred twenty".