874963467504 has 480 divisors, whose sum is σ = 3174515865600. Its totient is φ = 229189201920.

The previous prime is 874963467481. The next prime is 874963467559. The reversal of 874963467504 is 405764369478.

It is a happy number.

874963467504 is a `hidden beast` number, since 8 + 7 + 4 + 9 + 63 + 4 + 67 + 504 = 666.

It is a super-3 number, since 3×874963467504³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12432864 + ... + 12503040.

It is an arithmetic number, because the mean of its divisors is an integer number (6613574720).

Almost surely, 2^874963467504 is an apocalyptic number.

874963467504 is a gapful number since it is divisible by the number (84) 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 874963467504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587257932800).

874963467504 is an abundant number, since it is smaller than the sum of its proper divisors (2299552398096).

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

874963467504 is a wasteful number, since it uses less digits than its factorization.

874963467504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70258 (or 70239 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 874963467504 in words is "eight hundred seventy-four billion, nine hundred sixty-three million, four hundred sixty-seven thousand, five hundred four".