1874878714368 has 1280 divisors, whose sum is σ = 6671230156800. Its totient is φ = 517869158400.

The previous prime is 1874878714333. The next prime is 1874878714409. The reversal of 1874878714368 is 8634178784781.

1874878714368 is a `hidden beast` number, since 1 + 8 + 7 + 487 + 87 + 1 + 4 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1874878714296 and 1874878714305.

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, 10837449130 + ... + 10837449302.

It is an arithmetic number, because the mean of its divisors is an integer number (5211898560).

Almost surely, 2^{1874878714368} is an apocalyptic number.

1874878714368 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 1874878714368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335615078400).

1874878714368 is an abundant number, since it is smaller than the sum of its proper divisors (4796351442432).

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

1874878714368 is a wasteful number, since it uses less digits than its factorization.

1874878714368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 239 counting only the distinct ones).

The product of its digits is 404619264, while the sum is 72.

The spelling of 1874878714368 in words is "one trillion, eight hundred seventy-four billion, eight hundred seventy-eight million, seven hundred fourteen thousand, three hundred sixty-eight".