874700951040 has 2560 divisors, whose sum is σ = 4115308032000. Its totient is φ = 171228266496.

The previous prime is 874700951027. The next prime is 874700951093. The reversal of 874700951040 is 40159007478.

It is a happy number.

874700951040 is a `hidden beast` number, since 87 + 470 + 0 + 95 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4532129184 + ... + 4532129376.

It is an arithmetic number, because the mean of its divisors is an integer number (1607542200).

Almost surely, 2^874700951040 is an apocalyptic number.

874700951040 is a gapful number since it is divisible by the number (80) 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 874700951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057654016000).

874700951040 is an abundant number, since it is smaller than the sum of its proper divisors (3240607080960).

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

874700951040 is a wasteful number, since it uses less digits than its factorization.

874700951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 874700951040 in words is "eight hundred seventy-four billion, seven hundred million, nine hundred fifty-one thousand, forty".