1874736864 has 432 divisors, whose sum is σ = 7293751920. Its totient is φ = 449003520.

The previous prime is 1874736847. The next prime is 1874736869. The reversal of 1874736864 is 4686374781.

1874736864 is a `hidden beast` number, since 187 + 47 + 368 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1874736864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1874736869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2017552 + ... + 2018480.

It is an arithmetic number, because the mean of its divisors is an integer number (16883685).

Almost surely, 2^1874736864 is an apocalyptic number.

1874736864 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 1874736864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646875960).

1874736864 is an abundant number, since it is smaller than the sum of its proper divisors (5419015056).

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

1874736864 is a wasteful number, since it uses less digits than its factorization.

1874736864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 965 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 1874736864 is about 43298.2316498030. The cubic root of 1874736864 is about 1233.0483500950.

It can be divided in two parts, 18747 and 36864, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 1874736864 in words is "one billion, eight hundred seventy-four million, seven hundred thirty-six thousand, eight hundred sixty-four".