874898329600 has 351 divisors, whose sum is σ = 2258283739887. Its totient is φ = 336190832640.

The previous prime is 874898329597. The next prime is 874898329601. The reversal of 874898329600 is 6923898478.

The square root of 874898329600 is 935360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 83054628864 + 791843700736 = 288192^2 + 889856^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (874898329601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11074662361 + ... + 11074662439.

Almost surely, 2^874898329600 is an apocalyptic number.

874898329600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

874898329600 is the 935360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874898329600

874898329600 is an abundant number, since it is smaller than the sum of its proper divisors (1383385410287).

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

874898329600 is an frugal number, since it uses more digits than its factorization.

874898329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

Multiplying 874898329600 by its sum of digits (64), we get a square (55993493094400 = 7482880²).

874898329600 divided by its sum of digits (64) gives a square (13670286400 = 116920²).

The spelling of 874898329600 in words is "eight hundred seventy-four billion, eight hundred ninety-eight million, three hundred twenty-nine thousand, six hundred".