1868976648 has 288 divisors, whose sum is σ = 6697454400. Its totient is φ = 459613440.

The previous prime is 1868976643. The next prime is 1868976649. The reversal of 1868976648 is 8466798681.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1868976643) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1157890 + ... + 1159502.

It is an arithmetic number, because the mean of its divisors is an integer number (23255050).

Almost surely, 2^1868976648 is an apocalyptic number.

1868976648 is a gapful number since it is divisible by the number (18) 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 1868976648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348727200).

1868976648 is an abundant number, since it is smaller than the sum of its proper divisors (4828477752).

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

1868976648 is a wasteful number, since it uses less digits than its factorization.

1868976648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1655 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 1868976648 is about 43231.6625634500. The cubic root of 1868976648 is about 1231.7841883886.

The spelling of 1868976648 in words is "one billion, eight hundred sixty-eight million, nine hundred seventy-six thousand, six hundred forty-eight".