1878736896 has 240 divisors, whose sum is σ = 5787962880. Its totient is φ = 601620480.

The previous prime is 1878736879. The next prime is 1878736913. The reversal of 1878736896 is 6986378781.

1878736896 is a `hidden beast` number, since 187 + 8 + 7 + 368 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1878736879) and next prime (1878736913).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13713340 + ... + 13713476.

It is an arithmetic number, because the mean of its divisors is an integer number (24116512).

Almost surely, 2^1878736896 is an apocalyptic number.

1878736896 is a gapful number since it is divisible by the number (16) 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 1878736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893981440).

1878736896 is an abundant number, since it is smaller than the sum of its proper divisors (3909225984).

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

1878736896 is an equidigital number, since it uses as much as digits as its factorization.

1878736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 173 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 1878736896 is about 43344.3986692629. The cubic root of 1878736896 is about 1233.9246915910.

The spelling of 1878736896 in words is "one billion, eight hundred seventy-eight million, seven hundred thirty-six thousand, eight hundred ninety-six".